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Finding the Third Proportional to 398,742,340,120 and 857,961,319,128

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Solution

The third proportional to 398,742,340,120 and 857,961,319,128 is: 1,846,048,315,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,742,340,120 : 857,961,319,128 = 857,961,319,128 : x
  2. Step 2: Convert to fraction form
    398,742,340,120/857,961,319,128 = 857,961,319,128/x
  3. Step 3: Cross multiply
    398,742,340,120x = 857,961,319,128 × 857,961,319,128
  4. Step 4: Simplify right side
    398,742,340,120x = 736,097,625,119,857,882,169,344
  5. Step 5: Solve for x
    x = 736,097,625,119,857,882,169,344/398,742,340,120
  6. Step 6: Final answer
    x = 1,846,048,315,055.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.