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Finding the Third Proportional to 118,397 and 253,588

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Solution

The third proportional to 118,397 and 253,588 is: 543,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,397 : 253,588 = 253,588 : x
  2. Step 2: Convert to fraction form
    118,397/253,588 = 253,588/x
  3. Step 3: Cross multiply
    118,397x = 253,588 × 253,588
  4. Step 4: Simplify right side
    118,397x = 64,306,873,744
  5. Step 5: Solve for x
    x = 64,306,873,744/118,397
  6. Step 6: Final answer
    x = 543,146.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.