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Finding the Third Proportional to 157,725.38 and 343,999.78

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Solution

The third proportional to 157,725.38 and 343,999.78 is: 750,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,725.38 : 343,999.78 = 343,999.78 : x
  2. Step 2: Convert to fraction form
    157,725.38/343,999.78 = 343,999.78/x
  3. Step 3: Cross multiply
    157,725.38x = 343,999.78 × 343,999.78
  4. Step 4: Simplify right side
    157,725.38x = 118,335,849,500.05
  5. Step 5: Solve for x
    x = 118,335,849,500.05/157,725.38
  6. Step 6: Final answer
    x = 750,265.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.