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Finding the Third Proportional to 155,712.69 and 243,944.47

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Solution

The third proportional to 155,712.69 and 243,944.47 is: 382,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,712.69 : 243,944.47 = 243,944.47 : x
  2. Step 2: Convert to fraction form
    155,712.69/243,944.47 = 243,944.47/x
  3. Step 3: Cross multiply
    155,712.69x = 243,944.47 × 243,944.47
  4. Step 4: Simplify right side
    155,712.69x = 59,508,905,739.54
  5. Step 5: Solve for x
    x = 59,508,905,739.54/155,712.69
  6. Step 6: Final answer
    x = 382,171.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.