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Finding the Third Proportional to 85,390 and 125,875

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Solution

The third proportional to 85,390 and 125,875 is: 185,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,390 : 125,875 = 125,875 : x
  2. Step 2: Convert to fraction form
    85,390/125,875 = 125,875/x
  3. Step 3: Cross multiply
    85,390x = 125,875 × 125,875
  4. Step 4: Simplify right side
    85,390x = 15,844,515,625
  5. Step 5: Solve for x
    x = 15,844,515,625/85,390
  6. Step 6: Final answer
    x = 185,554.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.