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Finding the Third Proportional to 86,062.50 and 121,398.75

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Solution

The third proportional to 86,062.50 and 121,398.75 is: 171,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,062.50 : 121,398.75 = 121,398.75 : x
  2. Step 2: Convert to fraction form
    86,062.50/121,398.75 = 121,398.75/x
  3. Step 3: Cross multiply
    86,062.50x = 121,398.75 × 121,398.75
  4. Step 4: Simplify right side
    86,062.50x = 14,737,656,501.56
  5. Step 5: Solve for x
    x = 14,737,656,501.56/86,062.50
  6. Step 6: Final answer
    x = 171,243.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.