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Finding the Third Proportional to 243,311 and 387,450

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Solution

The third proportional to 243,311 and 387,450 is: 616,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,311 : 387,450 = 387,450 : x
  2. Step 2: Convert to fraction form
    243,311/387,450 = 387,450/x
  3. Step 3: Cross multiply
    243,311x = 387,450 × 387,450
  4. Step 4: Simplify right side
    243,311x = 150,117,502,500
  5. Step 5: Solve for x
    x = 150,117,502,500/243,311
  6. Step 6: Final answer
    x = 616,977.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.