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Finding the Third Proportional to 58,158 and 129,468.38

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Solution

The third proportional to 58,158 and 129,468.38 is: 288,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,158 : 129,468.38 = 129,468.38 : x
  2. Step 2: Convert to fraction form
    58,158/129,468.38 = 129,468.38/x
  3. Step 3: Cross multiply
    58,158x = 129,468.38 × 129,468.38
  4. Step 4: Simplify right side
    58,158x = 16,762,060,125.14
  5. Step 5: Solve for x
    x = 16,762,060,125.14/58,158
  6. Step 6: Final answer
    x = 288,215.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.