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Finding the Third Proportional to 15,826 and 21,304

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Solution

The third proportional to 15,826 and 21,304 is: 28,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826 : 21,304 = 21,304 : x
  2. Step 2: Convert to fraction form
    15,826/21,304 = 21,304/x
  3. Step 3: Cross multiply
    15,826x = 21,304 × 21,304
  4. Step 4: Simplify right side
    15,826x = 453,860,416
  5. Step 5: Solve for x
    x = 453,860,416/15,826
  6. Step 6: Final answer
    x = 28,678.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.