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Finding the Third Proportional to 55,000.25 and 85,785.38

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Solution

The third proportional to 55,000.25 and 85,785.38 is: 133,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,000.25 : 85,785.38 = 85,785.38 : x
  2. Step 2: Convert to fraction form
    55,000.25/85,785.38 = 85,785.38/x
  3. Step 3: Cross multiply
    55,000.25x = 85,785.38 × 85,785.38
  4. Step 4: Simplify right side
    55,000.25x = 7,359,130,563.89
  5. Step 5: Solve for x
    x = 7,359,130,563.89/55,000.25
  6. Step 6: Final answer
    x = 133,801.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.