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Finding the Third Proportional to 56,516.50 and 85,503.75

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Solution

The third proportional to 56,516.50 and 85,503.75 is: 129,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,516.50 : 85,503.75 = 85,503.75 : x
  2. Step 2: Convert to fraction form
    56,516.50/85,503.75 = 85,503.75/x
  3. Step 3: Cross multiply
    56,516.50x = 85,503.75 × 85,503.75
  4. Step 4: Simplify right side
    56,516.50x = 7,310,891,264.06
  5. Step 5: Solve for x
    x = 7,310,891,264.06/56,516.50
  6. Step 6: Final answer
    x = 129,358.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.