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Finding the Third Proportional to 81,966.38 and 130,334.63

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Solution

The third proportional to 81,966.38 and 130,334.63 is: 207,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966.38 : 130,334.63 = 130,334.63 : x
  2. Step 2: Convert to fraction form
    81,966.38/130,334.63 = 130,334.63/x
  3. Step 3: Cross multiply
    81,966.38x = 130,334.63 × 130,334.63
  4. Step 4: Simplify right side
    81,966.38x = 16,987,114,473.89
  5. Step 5: Solve for x
    x = 16,987,114,473.89/81,966.38
  6. Step 6: Final answer
    x = 207,244.92

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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.