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Finding the Third Proportional to 258,100 and 379,534

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Solution

The third proportional to 258,100 and 379,534 is: 558,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,100 : 379,534 = 379,534 : x
  2. Step 2: Convert to fraction form
    258,100/379,534 = 379,534/x
  3. Step 3: Cross multiply
    258,100x = 379,534 × 379,534
  4. Step 4: Simplify right side
    258,100x = 144,046,057,156
  5. Step 5: Solve for x
    x = 144,046,057,156/258,100
  6. Step 6: Final answer
    x = 558,101.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.