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Finding the Third Proportional to 71,506 and 106,880

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Solution

The third proportional to 71,506 and 106,880 is: 159,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506 : 106,880 = 106,880 : x
  2. Step 2: Convert to fraction form
    71,506/106,880 = 106,880/x
  3. Step 3: Cross multiply
    71,506x = 106,880 × 106,880
  4. Step 4: Simplify right side
    71,506x = 11,423,334,400
  5. Step 5: Solve for x
    x = 11,423,334,400/71,506
  6. Step 6: Final answer
    x = 159,753.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.