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Finding the Third Proportional to 95,124.38 and 200,853

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Solution

The third proportional to 95,124.38 and 200,853 is: 424,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,124.38 : 200,853 = 200,853 : x
  2. Step 2: Convert to fraction form
    95,124.38/200,853 = 200,853/x
  3. Step 3: Cross multiply
    95,124.38x = 200,853 × 200,853
  4. Step 4: Simplify right side
    95,124.38x = 40,341,927,609
  5. Step 5: Solve for x
    x = 40,341,927,609/95,124.38
  6. Step 6: Final answer
    x = 424,096.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.