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Finding the Third Proportional to 103,614.19 and 154,782.56

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Solution

The third proportional to 103,614.19 and 154,782.56 is: 231,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614.19 : 154,782.56 = 154,782.56 : x
  2. Step 2: Convert to fraction form
    103,614.19/154,782.56 = 154,782.56/x
  3. Step 3: Cross multiply
    103,614.19x = 154,782.56 × 154,782.56
  4. Step 4: Simplify right side
    103,614.19x = 23,957,641,654.07
  5. Step 5: Solve for x
    x = 23,957,641,654.07/103,614.19
  6. Step 6: Final answer
    x = 231,219.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.