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Finding the Third Proportional to 85,672,815.75 and 130,517,983.13

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Solution

The third proportional to 85,672,815.75 and 130,517,983.13 is: 198,837,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,672,815.75 : 130,517,983.13 = 130,517,983.13 : x
  2. Step 2: Convert to fraction form
    85,672,815.75/130,517,983.13 = 130,517,983.13/x
  3. Step 3: Cross multiply
    85,672,815.75x = 130,517,983.13 × 130,517,983.13
  4. Step 4: Simplify right side
    85,672,815.75x = 17,034,943,919,017,784
  5. Step 5: Solve for x
    x = 17,034,943,919,017,784/85,672,815.75
  6. Step 6: Final answer
    x = 198,837,213.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.