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Finding the Third Proportional to 93,125.43 and 197,344.18

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Solution

The third proportional to 93,125.43 and 197,344.18 is: 418,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,125.43 : 197,344.18 = 197,344.18 : x
  2. Step 2: Convert to fraction form
    93,125.43/197,344.18 = 197,344.18/x
  3. Step 3: Cross multiply
    93,125.43x = 197,344.18 × 197,344.18
  4. Step 4: Simplify right side
    93,125.43x = 38,944,725,352.90
  5. Step 5: Solve for x
    x = 38,944,725,352.90/93,125.43
  6. Step 6: Final answer
    x = 418,196.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.