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Finding the Third Proportional to 402,794,678 and 621,985,458

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Solution

The third proportional to 402,794,678 and 621,985,458 is: 960,454,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,794,678 : 621,985,458 = 621,985,458 : x
  2. Step 2: Convert to fraction form
    402,794,678/621,985,458 = 621,985,458/x
  3. Step 3: Cross multiply
    402,794,678x = 621,985,458 × 621,985,458
  4. Step 4: Simplify right side
    402,794,678x = 386,865,909,963,469,760
  5. Step 5: Solve for x
    x = 386,865,909,963,469,760/402,794,678
  6. Step 6: Final answer
    x = 960,454,373.14

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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.