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Finding the Third Proportional to 121,081,068 and 284,257,147.50

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Solution

The third proportional to 121,081,068 and 284,257,147.50 is: 667,339,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,081,068 : 284,257,147.50 = 284,257,147.50 : x
  2. Step 2: Convert to fraction form
    121,081,068/284,257,147.50 = 284,257,147.50/x
  3. Step 3: Cross multiply
    121,081,068x = 284,257,147.50 × 284,257,147.50
  4. Step 4: Simplify right side
    121,081,068x = 80,802,125,904,836,752
  5. Step 5: Solve for x
    x = 80,802,125,904,836,752/121,081,068
  6. Step 6: Final answer
    x = 667,339,058.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.