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Finding the Third Proportional to 118,320 and 258,474

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Solution

The third proportional to 118,320 and 258,474 is: 564,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,320 : 258,474 = 258,474 : x
  2. Step 2: Convert to fraction form
    118,320/258,474 = 258,474/x
  3. Step 3: Cross multiply
    118,320x = 258,474 × 258,474
  4. Step 4: Simplify right side
    118,320x = 66,808,808,676
  5. Step 5: Solve for x
    x = 66,808,808,676/118,320
  6. Step 6: Final answer
    x = 564,645.10

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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.