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Finding the Third Proportional to 402,742,336 and 621,358,128

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Solution

The third proportional to 402,742,336 and 621,358,128 is: 958,642,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,742,336 : 621,358,128 = 621,358,128 : x
  2. Step 2: Convert to fraction form
    402,742,336/621,358,128 = 621,358,128/x
  3. Step 3: Cross multiply
    402,742,336x = 621,358,128 × 621,358,128
  4. Step 4: Simplify right side
    402,742,336x = 386,085,923,231,664,384
  5. Step 5: Solve for x
    x = 386,085,923,231,664,384/402,742,336
  6. Step 6: Final answer
    x = 958,642,508.42

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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.