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Finding the Third Proportional to 78,785 and 172,877

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Solution

The third proportional to 78,785 and 172,877 is: 379,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,785 : 172,877 = 172,877 : x
  2. Step 2: Convert to fraction form
    78,785/172,877 = 172,877/x
  3. Step 3: Cross multiply
    78,785x = 172,877 × 172,877
  4. Step 4: Simplify right side
    78,785x = 29,886,457,129
  5. Step 5: Solve for x
    x = 29,886,457,129/78,785
  6. Step 6: Final answer
    x = 379,341.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.