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Finding the Third Proportional to 103,600.13 and 155,784.66

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Solution

The third proportional to 103,600.13 and 155,784.66 is: 234,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,600.13 : 155,784.66 = 155,784.66 : x
  2. Step 2: Convert to fraction form
    103,600.13/155,784.66 = 155,784.66/x
  3. Step 3: Cross multiply
    103,600.13x = 155,784.66 × 155,784.66
  4. Step 4: Simplify right side
    103,600.13x = 24,268,859,122.93
  5. Step 5: Solve for x
    x = 24,268,859,122.93/103,600.13
  6. Step 6: Final answer
    x = 234,255.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.