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Finding the Third Proportional to 121,342,552 and 262,078,142

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Solution

The third proportional to 121,342,552 and 262,078,142 is: 566,041,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,342,552 : 262,078,142 = 262,078,142 : x
  2. Step 2: Convert to fraction form
    121,342,552/262,078,142 = 262,078,142/x
  3. Step 3: Cross multiply
    121,342,552x = 262,078,142 × 262,078,142
  4. Step 4: Simplify right side
    121,342,552x = 68,684,952,514,172,160
  5. Step 5: Solve for x
    x = 68,684,952,514,172,160/121,342,552
  6. Step 6: Final answer
    x = 566,041,766.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.