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Finding the Third Proportional to 180,877 and 392,892

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Solution

The third proportional to 180,877 and 392,892 is: 853,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,877 : 392,892 = 392,892 : x
  2. Step 2: Convert to fraction form
    180,877/392,892 = 392,892/x
  3. Step 3: Cross multiply
    180,877x = 392,892 × 392,892
  4. Step 4: Simplify right side
    180,877x = 154,364,123,664
  5. Step 5: Solve for x
    x = 154,364,123,664/180,877
  6. Step 6: Final answer
    x = 853,420.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.