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Finding the Third Proportional to 155,013.75 and 219,404.53

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Solution

The third proportional to 155,013.75 and 219,404.53 is: 310,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,013.75 : 219,404.53 = 219,404.53 : x
  2. Step 2: Convert to fraction form
    155,013.75/219,404.53 = 219,404.53/x
  3. Step 3: Cross multiply
    155,013.75x = 219,404.53 × 219,404.53
  4. Step 4: Simplify right side
    155,013.75x = 48,138,348,333.03
  5. Step 5: Solve for x
    x = 48,138,348,333.03/155,013.75
  6. Step 6: Final answer
    x = 310,542.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.