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Finding the Third Proportional to 240,468 and 517,140

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Solution

The third proportional to 240,468 and 517,140 is: 1,112,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,468 : 517,140 = 517,140 : x
  2. Step 2: Convert to fraction form
    240,468/517,140 = 517,140/x
  3. Step 3: Cross multiply
    240,468x = 517,140 × 517,140
  4. Step 4: Simplify right side
    240,468x = 267,433,779,600
  5. Step 5: Solve for x
    x = 267,433,779,600/240,468
  6. Step 6: Final answer
    x = 1,112,138.74

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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.