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Finding the Third Proportional to 81,250 and 121,875

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Solution

The third proportional to 81,250 and 121,875 is: 182,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,250 : 121,875 = 121,875 : x
  2. Step 2: Convert to fraction form
    81,250/121,875 = 121,875/x
  3. Step 3: Cross multiply
    81,250x = 121,875 × 121,875
  4. Step 4: Simplify right side
    81,250x = 14,853,515,625
  5. Step 5: Solve for x
    x = 14,853,515,625/81,250
  6. Step 6: Final answer
    x = 182,812.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.