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Finding the Third Proportional to 240,178 and 517,469

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Solution

The third proportional to 240,178 and 517,469 is: 1,114,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,178 : 517,469 = 517,469 : x
  2. Step 2: Convert to fraction form
    240,178/517,469 = 517,469/x
  3. Step 3: Cross multiply
    240,178x = 517,469 × 517,469
  4. Step 4: Simplify right side
    240,178x = 267,774,165,961
  5. Step 5: Solve for x
    x = 267,774,165,961/240,178
  6. Step 6: Final answer
    x = 1,114,898.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.