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Finding the Third Proportional to 85,624 and 136,366.50

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Solution

The third proportional to 85,624 and 136,366.50 is: 217,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,624 : 136,366.50 = 136,366.50 : x
  2. Step 2: Convert to fraction form
    85,624/136,366.50 = 136,366.50/x
  3. Step 3: Cross multiply
    85,624x = 136,366.50 × 136,366.50
  4. Step 4: Simplify right side
    85,624x = 18,595,822,322.25
  5. Step 5: Solve for x
    x = 18,595,822,322.25/85,624
  6. Step 6: Final answer
    x = 217,180.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.