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Finding the Third Proportional to 402,794,838 and 621,985,680

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Solution

The third proportional to 402,794,838 and 621,985,680 is: 960,454,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,794,838 : 621,985,680 = 621,985,680 : x
  2. Step 2: Convert to fraction form
    402,794,838/621,985,680 = 621,985,680/x
  3. Step 3: Cross multiply
    402,794,838x = 621,985,680 × 621,985,680
  4. Step 4: Simplify right side
    402,794,838x = 386,866,186,125,062,400
  5. Step 5: Solve for x
    x = 386,866,186,125,062,400/402,794,838
  6. Step 6: Final answer
    x = 960,454,677.24

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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.