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Finding the Third Proportional to 140,769 and 212,364

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Solution

The third proportional to 140,769 and 212,364 is: 320,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,769 : 212,364 = 212,364 : x
  2. Step 2: Convert to fraction form
    140,769/212,364 = 212,364/x
  3. Step 3: Cross multiply
    140,769x = 212,364 × 212,364
  4. Step 4: Simplify right side
    140,769x = 45,098,468,496
  5. Step 5: Solve for x
    x = 45,098,468,496/140,769
  6. Step 6: Final answer
    x = 320,372.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.