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Finding the Third Proportional to 87,480 and 191,403

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Solution

The third proportional to 87,480 and 191,403 is: 418,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,480 : 191,403 = 191,403 : x
  2. Step 2: Convert to fraction form
    87,480/191,403 = 191,403/x
  3. Step 3: Cross multiply
    87,480x = 191,403 × 191,403
  4. Step 4: Simplify right side
    87,480x = 36,635,108,409
  5. Step 5: Solve for x
    x = 36,635,108,409/87,480
  6. Step 6: Final answer
    x = 418,782.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.