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Finding the Third Proportional to 155,393.86 and 219,337.55

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Solution

The third proportional to 155,393.86 and 219,337.55 is: 309,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,393.86 : 219,337.55 = 219,337.55 : x
  2. Step 2: Convert to fraction form
    155,393.86/219,337.55 = 219,337.55/x
  3. Step 3: Cross multiply
    155,393.86x = 219,337.55 × 219,337.55
  4. Step 4: Simplify right side
    155,393.86x = 48,108,959,469.14
  5. Step 5: Solve for x
    x = 48,108,959,469.14/155,393.86
  6. Step 6: Final answer
    x = 309,593.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.