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Finding the Third Proportional to 56,145 and 85,128

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Solution

The third proportional to 56,145 and 85,128 is: 129,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,145 : 85,128 = 85,128 : x
  2. Step 2: Convert to fraction form
    56,145/85,128 = 85,128/x
  3. Step 3: Cross multiply
    56,145x = 85,128 × 85,128
  4. Step 4: Simplify right side
    56,145x = 7,246,776,384
  5. Step 5: Solve for x
    x = 7,246,776,384/56,145
  6. Step 6: Final answer
    x = 129,072.52

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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.