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Finding the Third Proportional to 402,742,320 and 621,358,104

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Solution

The third proportional to 402,742,320 and 621,358,104 is: 958,642,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,742,320 : 621,358,104 = 621,358,104 : x
  2. Step 2: Convert to fraction form
    402,742,320/621,358,104 = 621,358,104/x
  3. Step 3: Cross multiply
    402,742,320x = 621,358,104 × 621,358,104
  4. Step 4: Simplify right side
    402,742,320x = 386,085,893,406,474,816
  5. Step 5: Solve for x
    x = 386,085,893,406,474,816/402,742,320
  6. Step 6: Final answer
    x = 958,642,472.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.