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Finding the Third Proportional to 402,794,920 and 621,985,854

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Solution

The third proportional to 402,794,920 and 621,985,854 is: 960,455,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,794,920 : 621,985,854 = 621,985,854 : x
  2. Step 2: Convert to fraction form
    402,794,920/621,985,854 = 621,985,854/x
  3. Step 3: Cross multiply
    402,794,920x = 621,985,854 × 621,985,854
  4. Step 4: Simplify right side
    402,794,920x = 386,866,402,576,109,312
  5. Step 5: Solve for x
    x = 386,866,402,576,109,312/402,794,920
  6. Step 6: Final answer
    x = 960,455,019.09

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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.