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Finding the Third Proportional to 240,140 and 517,522

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Solution

The third proportional to 240,140 and 517,522 is: 1,115,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,140 : 517,522 = 517,522 : x
  2. Step 2: Convert to fraction form
    240,140/517,522 = 517,522/x
  3. Step 3: Cross multiply
    240,140x = 517,522 × 517,522
  4. Step 4: Simplify right side
    240,140x = 267,829,020,484
  5. Step 5: Solve for x
    x = 267,829,020,484/240,140
  6. Step 6: Final answer
    x = 1,115,303.66

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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.