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Finding the Third Proportional to 15,730 and 34,282

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Solution

The third proportional to 15,730 and 34,282 is: 74,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730 : 34,282 = 34,282 : x
  2. Step 2: Convert to fraction form
    15,730/34,282 = 34,282/x
  3. Step 3: Cross multiply
    15,730x = 34,282 × 34,282
  4. Step 4: Simplify right side
    15,730x = 1,175,255,524
  5. Step 5: Solve for x
    x = 1,175,255,524/15,730
  6. Step 6: Final answer
    x = 74,714.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.