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Finding the Third Proportional to 121,513 and 187,345

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Solution

The third proportional to 121,513 and 187,345 is: 288,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,513 : 187,345 = 187,345 : x
  2. Step 2: Convert to fraction form
    121,513/187,345 = 187,345/x
  3. Step 3: Cross multiply
    121,513x = 187,345 × 187,345
  4. Step 4: Simplify right side
    121,513x = 35,098,149,025
  5. Step 5: Solve for x
    x = 35,098,149,025/121,513
  6. Step 6: Final answer
    x = 288,842.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.