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Finding the Third Proportional to 643,668,120 and 1,390,219,281

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Solution

The third proportional to 643,668,120 and 1,390,219,281 is: 3,002,649,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,668,120 : 1,390,219,281 = 1,390,219,281 : x
  2. Step 2: Convert to fraction form
    643,668,120/1,390,219,281 = 1,390,219,281/x
  3. Step 3: Cross multiply
    643,668,120x = 1,390,219,281 × 1,390,219,281
  4. Step 4: Simplify right side
    643,668,120x = 1,932,709,649,264,156,928
  5. Step 5: Solve for x
    x = 1,932,709,649,264,156,928/643,668,120
  6. Step 6: Final answer
    x = 3,002,649,330.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.