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Finding the Third Proportional to 63,440 and 136,624

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Solution

The third proportional to 63,440 and 136,624 is: 294,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,440 : 136,624 = 136,624 : x
  2. Step 2: Convert to fraction form
    63,440/136,624 = 136,624/x
  3. Step 3: Cross multiply
    63,440x = 136,624 × 136,624
  4. Step 4: Simplify right side
    63,440x = 18,666,117,376
  5. Step 5: Solve for x
    x = 18,666,117,376/63,440
  6. Step 6: Final answer
    x = 294,232.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.