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Finding the Third Proportional to 102,438.19 and 155,085.75

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Solution

The third proportional to 102,438.19 and 155,085.75 is: 234,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,438.19 : 155,085.75 = 155,085.75 : x
  2. Step 2: Convert to fraction form
    102,438.19/155,085.75 = 155,085.75/x
  3. Step 3: Cross multiply
    102,438.19x = 155,085.75 × 155,085.75
  4. Step 4: Simplify right side
    102,438.19x = 24,051,589,853.06
  5. Step 5: Solve for x
    x = 24,051,589,853.06/102,438.19
  6. Step 6: Final answer
    x = 234,791.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.