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Finding the Third Proportional to 22,496 and 32,402

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Solution

The third proportional to 22,496 and 32,402 is: 46,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496 : 32,402 = 32,402 : x
  2. Step 2: Convert to fraction form
    22,496/32,402 = 32,402/x
  3. Step 3: Cross multiply
    22,496x = 32,402 × 32,402
  4. Step 4: Simplify right side
    22,496x = 1,049,889,604
  5. Step 5: Solve for x
    x = 1,049,889,604/22,496
  6. Step 6: Final answer
    x = 46,670.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.