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Finding the Third Proportional to 122,432 and 194,776

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Solution

The third proportional to 122,432 and 194,776 is: 309,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,432 : 194,776 = 194,776 : x
  2. Step 2: Convert to fraction form
    122,432/194,776 = 194,776/x
  3. Step 3: Cross multiply
    122,432x = 194,776 × 194,776
  4. Step 4: Simplify right side
    122,432x = 37,937,690,176
  5. Step 5: Solve for x
    x = 37,937,690,176/122,432
  6. Step 6: Final answer
    x = 309,867.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.