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Finding the Third Proportional to 243,676 and 382,344

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Solution

The third proportional to 243,676 and 382,344 is: 599,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,676 : 382,344 = 382,344 : x
  2. Step 2: Convert to fraction form
    243,676/382,344 = 382,344/x
  3. Step 3: Cross multiply
    243,676x = 382,344 × 382,344
  4. Step 4: Simplify right side
    243,676x = 146,186,934,336
  5. Step 5: Solve for x
    x = 146,186,934,336/243,676
  6. Step 6: Final answer
    x = 599,923.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.