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Finding the Third Proportional to 58,471 and 128,606

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Solution

The third proportional to 58,471 and 128,606 is: 282,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,471 : 128,606 = 128,606 : x
  2. Step 2: Convert to fraction form
    58,471/128,606 = 128,606/x
  3. Step 3: Cross multiply
    58,471x = 128,606 × 128,606
  4. Step 4: Simplify right side
    58,471x = 16,539,503,236
  5. Step 5: Solve for x
    x = 16,539,503,236/58,471
  6. Step 6: Final answer
    x = 282,866.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.