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Finding the Third Proportional to 85,637.25 and 121,719.38

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Solution

The third proportional to 85,637.25 and 121,719.38 is: 173,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,637.25 : 121,719.38 = 121,719.38 : x
  2. Step 2: Convert to fraction form
    85,637.25/121,719.38 = 121,719.38/x
  3. Step 3: Cross multiply
    85,637.25x = 121,719.38 × 121,719.38
  4. Step 4: Simplify right side
    85,637.25x = 14,815,606,250.39
  5. Step 5: Solve for x
    x = 14,815,606,250.39/85,637.25
  6. Step 6: Final answer
    x = 173,004.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.