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Finding the Third Proportional to 87,628 and 191,470

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Solution

The third proportional to 87,628 and 191,470 is: 418,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,628 : 191,470 = 191,470 : x
  2. Step 2: Convert to fraction form
    87,628/191,470 = 191,470/x
  3. Step 3: Cross multiply
    87,628x = 191,470 × 191,470
  4. Step 4: Simplify right side
    87,628x = 36,660,760,900
  5. Step 5: Solve for x
    x = 36,660,760,900/87,628
  6. Step 6: Final answer
    x = 418,368.11

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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.