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Finding the Third Proportional to 58,720 and 129,056

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Solution

The third proportional to 58,720 and 129,056 is: 283,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,720 : 129,056 = 129,056 : x
  2. Step 2: Convert to fraction form
    58,720/129,056 = 129,056/x
  3. Step 3: Cross multiply
    58,720x = 129,056 × 129,056
  4. Step 4: Simplify right side
    58,720x = 16,655,451,136
  5. Step 5: Solve for x
    x = 16,655,451,136/58,720
  6. Step 6: Final answer
    x = 283,641.88

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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.