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Finding the Third Proportional to 81,873.50 and 130,191.50

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Solution

The third proportional to 81,873.50 and 130,191.50 is: 207,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,873.50 : 130,191.50 = 130,191.50 : x
  2. Step 2: Convert to fraction form
    81,873.50/130,191.50 = 130,191.50/x
  3. Step 3: Cross multiply
    81,873.50x = 130,191.50 × 130,191.50
  4. Step 4: Simplify right side
    81,873.50x = 16,949,826,672.25
  5. Step 5: Solve for x
    x = 16,949,826,672.25/81,873.50
  6. Step 6: Final answer
    x = 207,024.58

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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.