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Finding the Third Proportional to 137,097 and 291,654

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Solution

The third proportional to 137,097 and 291,654 is: 620,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,097 : 291,654 = 291,654 : x
  2. Step 2: Convert to fraction form
    137,097/291,654 = 291,654/x
  3. Step 3: Cross multiply
    137,097x = 291,654 × 291,654
  4. Step 4: Simplify right side
    137,097x = 85,062,055,716
  5. Step 5: Solve for x
    x = 85,062,055,716/137,097
  6. Step 6: Final answer
    x = 620,451.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.