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Finding the Third Proportional to 58,720 and 130,892

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Solution

The third proportional to 58,720 and 130,892 is: 291,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,720 : 130,892 = 130,892 : x
  2. Step 2: Convert to fraction form
    58,720/130,892 = 130,892/x
  3. Step 3: Cross multiply
    58,720x = 130,892 × 130,892
  4. Step 4: Simplify right side
    58,720x = 17,132,715,664
  5. Step 5: Solve for x
    x = 17,132,715,664/58,720
  6. Step 6: Final answer
    x = 291,769.68

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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.