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Finding the Third Proportional to 240,133.50 and 517,509

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Solution

The third proportional to 240,133.50 and 517,509 is: 1,115,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,133.50 : 517,509 = 517,509 : x
  2. Step 2: Convert to fraction form
    240,133.50/517,509 = 517,509/x
  3. Step 3: Cross multiply
    240,133.50x = 517,509 × 517,509
  4. Step 4: Simplify right side
    240,133.50x = 267,815,565,081
  5. Step 5: Solve for x
    x = 267,815,565,081/240,133.50
  6. Step 6: Final answer
    x = 1,115,277.81

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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.