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Finding the Third Proportional to 115,531.31 and 154,532.81

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Solution

The third proportional to 115,531.31 and 154,532.81 is: 206,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,531.31 : 154,532.81 = 154,532.81 : x
  2. Step 2: Convert to fraction form
    115,531.31/154,532.81 = 154,532.81/x
  3. Step 3: Cross multiply
    115,531.31x = 154,532.81 × 154,532.81
  4. Step 4: Simplify right side
    115,531.31x = 23,880,390,139.16
  5. Step 5: Solve for x
    x = 23,880,390,139.16/115,531.31
  6. Step 6: Final answer
    x = 206,700.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.