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Finding the Third Proportional to 29,184 and 64,320

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Solution

The third proportional to 29,184 and 64,320 is: 141,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184 : 64,320 = 64,320 : x
  2. Step 2: Convert to fraction form
    29,184/64,320 = 64,320/x
  3. Step 3: Cross multiply
    29,184x = 64,320 × 64,320
  4. Step 4: Simplify right side
    29,184x = 4,137,062,400
  5. Step 5: Solve for x
    x = 4,137,062,400/29,184
  6. Step 6: Final answer
    x = 141,757.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.