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Finding the Third Proportional to 56,109 and 86,239

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Solution

The third proportional to 56,109 and 86,239 is: 132,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,109 : 86,239 = 86,239 : x
  2. Step 2: Convert to fraction form
    56,109/86,239 = 86,239/x
  3. Step 3: Cross multiply
    56,109x = 86,239 × 86,239
  4. Step 4: Simplify right side
    56,109x = 7,437,165,121
  5. Step 5: Solve for x
    x = 7,437,165,121/56,109
  6. Step 6: Final answer
    x = 132,548.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.