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Finding the Third Proportional to 170,778 and 251,747

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Solution

The third proportional to 170,778 and 251,747 is: 371,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,778 : 251,747 = 251,747 : x
  2. Step 2: Convert to fraction form
    170,778/251,747 = 251,747/x
  3. Step 3: Cross multiply
    170,778x = 251,747 × 251,747
  4. Step 4: Simplify right side
    170,778x = 63,376,552,009
  5. Step 5: Solve for x
    x = 63,376,552,009/170,778
  6. Step 6: Final answer
    x = 371,104.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.