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Finding the Third Proportional to 155,738.53 and 243,988.45

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Solution

The third proportional to 155,738.53 and 243,988.45 is: 382,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,738.53 : 243,988.45 = 243,988.45 : x
  2. Step 2: Convert to fraction form
    155,738.53/243,988.45 = 243,988.45/x
  3. Step 3: Cross multiply
    155,738.53x = 243,988.45 × 243,988.45
  4. Step 4: Simplify right side
    155,738.53x = 59,530,365,258.33
  5. Step 5: Solve for x
    x = 59,530,365,258.33/155,738.53
  6. Step 6: Final answer
    x = 382,245.58

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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.