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Finding the Third Proportional to 56,511.75 and 85,495.13

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Solution

The third proportional to 56,511.75 and 85,495.13 is: 129,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,511.75 : 85,495.13 = 85,495.13 : x
  2. Step 2: Convert to fraction form
    56,511.75/85,495.13 = 85,495.13/x
  3. Step 3: Cross multiply
    56,511.75x = 85,495.13 × 85,495.13
  4. Step 4: Simplify right side
    56,511.75x = 7,309,416,398.77
  5. Step 5: Solve for x
    x = 7,309,416,398.77/56,511.75
  6. Step 6: Final answer
    x = 129,343.30

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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.