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Finding the Third Proportional to 199,496 and 332,472

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Solution

The third proportional to 199,496 and 332,472 is: 554,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,496 : 332,472 = 332,472 : x
  2. Step 2: Convert to fraction form
    199,496/332,472 = 332,472/x
  3. Step 3: Cross multiply
    199,496x = 332,472 × 332,472
  4. Step 4: Simplify right side
    199,496x = 110,537,630,784
  5. Step 5: Solve for x
    x = 110,537,630,784/199,496
  6. Step 6: Final answer
    x = 554,084.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.