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Finding the Third Proportional to 102,778 and 153,471

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Solution

The third proportional to 102,778 and 153,471 is: 229,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,778 : 153,471 = 153,471 : x
  2. Step 2: Convert to fraction form
    102,778/153,471 = 153,471/x
  3. Step 3: Cross multiply
    102,778x = 153,471 × 153,471
  4. Step 4: Simplify right side
    102,778x = 23,553,347,841
  5. Step 5: Solve for x
    x = 23,553,347,841/102,778
  6. Step 6: Final answer
    x = 229,167.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.