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Finding the Third Proportional to 118,275 and 258,402

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Solution

The third proportional to 118,275 and 258,402 is: 564,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,275 : 258,402 = 258,402 : x
  2. Step 2: Convert to fraction form
    118,275/258,402 = 258,402/x
  3. Step 3: Cross multiply
    118,275x = 258,402 × 258,402
  4. Step 4: Simplify right side
    118,275x = 66,771,593,604
  5. Step 5: Solve for x
    x = 66,771,593,604/118,275
  6. Step 6: Final answer
    x = 564,545.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.