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Finding the Third Proportional to 21,464 and 28,292

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Solution

The third proportional to 21,464 and 28,292 is: 37,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464 : 28,292 = 28,292 : x
  2. Step 2: Convert to fraction form
    21,464/28,292 = 28,292/x
  3. Step 3: Cross multiply
    21,464x = 28,292 × 28,292
  4. Step 4: Simplify right side
    21,464x = 800,437,264
  5. Step 5: Solve for x
    x = 800,437,264/21,464
  6. Step 6: Final answer
    x = 37,292.08

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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.