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Finding the Third Proportional to 103,218.05 and 158,701.78

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Solution

The third proportional to 103,218.05 and 158,701.78 is: 244,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,218.05 : 158,701.78 = 158,701.78 : x
  2. Step 2: Convert to fraction form
    103,218.05/158,701.78 = 158,701.78/x
  3. Step 3: Cross multiply
    103,218.05x = 158,701.78 × 158,701.78
  4. Step 4: Simplify right side
    103,218.05x = 25,186,255,371.92
  5. Step 5: Solve for x
    x = 25,186,255,371.92/103,218.05
  6. Step 6: Final answer
    x = 244,010.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.