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Finding the Third Proportional to 94,306 and 141,463

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Solution

The third proportional to 94,306 and 141,463 is: 212,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,306 : 141,463 = 141,463 : x
  2. Step 2: Convert to fraction form
    94,306/141,463 = 141,463/x
  3. Step 3: Cross multiply
    94,306x = 141,463 × 141,463
  4. Step 4: Simplify right side
    94,306x = 20,011,780,369
  5. Step 5: Solve for x
    x = 20,011,780,369/94,306
  6. Step 6: Final answer
    x = 212,200.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.