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Finding the Third Proportional to 155,402.44 and 239,968.69

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Solution

The third proportional to 155,402.44 and 239,968.69 is: 370,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,402.44 : 239,968.69 = 239,968.69 : x
  2. Step 2: Convert to fraction form
    155,402.44/239,968.69 = 239,968.69/x
  3. Step 3: Cross multiply
    155,402.44x = 239,968.69 × 239,968.69
  4. Step 4: Simplify right side
    155,402.44x = 57,584,970,980.47
  5. Step 5: Solve for x
    x = 57,584,970,980.47/155,402.44
  6. Step 6: Final answer
    x = 370,553.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.