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Finding the Third Proportional to 63,429 and 83,424

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Solution

The third proportional to 63,429 and 83,424 is: 109,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,429 : 83,424 = 83,424 : x
  2. Step 2: Convert to fraction form
    63,429/83,424 = 83,424/x
  3. Step 3: Cross multiply
    63,429x = 83,424 × 83,424
  4. Step 4: Simplify right side
    63,429x = 6,959,563,776
  5. Step 5: Solve for x
    x = 6,959,563,776/63,429
  6. Step 6: Final answer
    x = 109,722.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.