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Finding the Third Proportional to 85,810.64 and 132,867.84

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Solution

The third proportional to 85,810.64 and 132,867.84 is: 205,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,810.64 : 132,867.84 = 132,867.84 : x
  2. Step 2: Convert to fraction form
    85,810.64/132,867.84 = 132,867.84/x
  3. Step 3: Cross multiply
    85,810.64x = 132,867.84 × 132,867.84
  4. Step 4: Simplify right side
    85,810.64x = 17,653,863,902.77
  5. Step 5: Solve for x
    x = 17,653,863,902.77/85,810.64
  6. Step 6: Final answer
    x = 205,730.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.