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Finding the Third Proportional to 72,986.81 and 158,434.97

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Solution

The third proportional to 72,986.81 and 158,434.97 is: 343,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,986.81 : 158,434.97 = 158,434.97 : x
  2. Step 2: Convert to fraction form
    72,986.81/158,434.97 = 158,434.97/x
  3. Step 3: Cross multiply
    72,986.81x = 158,434.97 × 158,434.97
  4. Step 4: Simplify right side
    72,986.81x = 25,101,639,322.81
  5. Step 5: Solve for x
    x = 25,101,639,322.81/72,986.81
  6. Step 6: Final answer
    x = 343,920.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.