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Finding the Third Proportional to 102,129 and 220,656

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Solution

The third proportional to 102,129 and 220,656 is: 476,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,129 : 220,656 = 220,656 : x
  2. Step 2: Convert to fraction form
    102,129/220,656 = 220,656/x
  3. Step 3: Cross multiply
    102,129x = 220,656 × 220,656
  4. Step 4: Simplify right side
    102,129x = 48,689,070,336
  5. Step 5: Solve for x
    x = 48,689,070,336/102,129
  6. Step 6: Final answer
    x = 476,740.89

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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.