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Finding the Third Proportional to 198,432 and 307,345

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Solution

The third proportional to 198,432 and 307,345 is: 476,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,432 : 307,345 = 307,345 : x
  2. Step 2: Convert to fraction form
    198,432/307,345 = 307,345/x
  3. Step 3: Cross multiply
    198,432x = 307,345 × 307,345
  4. Step 4: Simplify right side
    198,432x = 94,460,949,025
  5. Step 5: Solve for x
    x = 94,460,949,025/198,432
  6. Step 6: Final answer
    x = 476,036.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.