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Finding the Third Proportional to 15,657 and 34,812

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Solution

The third proportional to 15,657 and 34,812 is: 77,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657 : 34,812 = 34,812 : x
  2. Step 2: Convert to fraction form
    15,657/34,812 = 34,812/x
  3. Step 3: Cross multiply
    15,657x = 34,812 × 34,812
  4. Step 4: Simplify right side
    15,657x = 1,211,875,344
  5. Step 5: Solve for x
    x = 1,211,875,344/15,657
  6. Step 6: Final answer
    x = 77,401.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.