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Finding the Third Proportional to 65,423 and 133,612

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Solution

The third proportional to 65,423 and 133,612 is: 272,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,423 : 133,612 = 133,612 : x
  2. Step 2: Convert to fraction form
    65,423/133,612 = 133,612/x
  3. Step 3: Cross multiply
    65,423x = 133,612 × 133,612
  4. Step 4: Simplify right side
    65,423x = 17,852,166,544
  5. Step 5: Solve for x
    x = 17,852,166,544/65,423
  6. Step 6: Final answer
    x = 272,872.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.