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Finding the Third Proportional to 87,358 and 181,628

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Solution

The third proportional to 87,358 and 181,628 is: 377,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,358 : 181,628 = 181,628 : x
  2. Step 2: Convert to fraction form
    87,358/181,628 = 181,628/x
  3. Step 3: Cross multiply
    87,358x = 181,628 × 181,628
  4. Step 4: Simplify right side
    87,358x = 32,988,730,384
  5. Step 5: Solve for x
    x = 32,988,730,384/87,358
  6. Step 6: Final answer
    x = 377,626.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.