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Finding the Third Proportional to 93,397.43 and 200,400.96

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Solution

The third proportional to 93,397.43 and 200,400.96 is: 429,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,397.43 : 200,400.96 = 200,400.96 : x
  2. Step 2: Convert to fraction form
    93,397.43/200,400.96 = 200,400.96/x
  3. Step 3: Cross multiply
    93,397.43x = 200,400.96 × 200,400.96
  4. Step 4: Simplify right side
    93,397.43x = 40,160,545,144.67
  5. Step 5: Solve for x
    x = 40,160,545,144.67/93,397.43
  6. Step 6: Final answer
    x = 429,996.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.