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Finding the Third Proportional to 129,833 and 272,785

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Solution

The third proportional to 129,833 and 272,785 is: 573,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,833 : 272,785 = 272,785 : x
  2. Step 2: Convert to fraction form
    129,833/272,785 = 272,785/x
  3. Step 3: Cross multiply
    129,833x = 272,785 × 272,785
  4. Step 4: Simplify right side
    129,833x = 74,411,656,225
  5. Step 5: Solve for x
    x = 74,411,656,225/129,833
  6. Step 6: Final answer
    x = 573,133.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.