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Finding the Third Proportional to 58,514 and 128,140

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Solution

The third proportional to 58,514 and 128,140 is: 280,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,514 : 128,140 = 128,140 : x
  2. Step 2: Convert to fraction form
    58,514/128,140 = 128,140/x
  3. Step 3: Cross multiply
    58,514x = 128,140 × 128,140
  4. Step 4: Simplify right side
    58,514x = 16,419,859,600
  5. Step 5: Solve for x
    x = 16,419,859,600/58,514
  6. Step 6: Final answer
    x = 280,614.21

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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.