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Finding the Third Proportional to 191,432 and 392,408

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Solution

The third proportional to 191,432 and 392,408 is: 804,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,432 : 392,408 = 392,408 : x
  2. Step 2: Convert to fraction form
    191,432/392,408 = 392,408/x
  3. Step 3: Cross multiply
    191,432x = 392,408 × 392,408
  4. Step 4: Simplify right side
    191,432x = 153,984,038,464
  5. Step 5: Solve for x
    x = 153,984,038,464/191,432
  6. Step 6: Final answer
    x = 804,379.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.