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Finding the Third Proportional to 15,479 and 33,421

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Solution

The third proportional to 15,479 and 33,421 is: 72,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,479 : 33,421 = 33,421 : x
  2. Step 2: Convert to fraction form
    15,479/33,421 = 33,421/x
  3. Step 3: Cross multiply
    15,479x = 33,421 × 33,421
  4. Step 4: Simplify right side
    15,479x = 1,116,963,241
  5. Step 5: Solve for x
    x = 1,116,963,241/15,479
  6. Step 6: Final answer
    x = 72,159.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.