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Finding the Third Proportional to 56,180 and 129,730

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Solution

The third proportional to 56,180 and 129,730 is: 299,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,180 : 129,730 = 129,730 : x
  2. Step 2: Convert to fraction form
    56,180/129,730 = 129,730/x
  3. Step 3: Cross multiply
    56,180x = 129,730 × 129,730
  4. Step 4: Simplify right side
    56,180x = 16,829,872,900
  5. Step 5: Solve for x
    x = 16,829,872,900/56,180
  6. Step 6: Final answer
    x = 299,570.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.