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Finding the Third Proportional to 243,639 and 331,911

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Solution

The third proportional to 243,639 and 331,911 is: 452,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,639 : 331,911 = 331,911 : x
  2. Step 2: Convert to fraction form
    243,639/331,911 = 331,911/x
  3. Step 3: Cross multiply
    243,639x = 331,911 × 331,911
  4. Step 4: Simplify right side
    243,639x = 110,164,911,921
  5. Step 5: Solve for x
    x = 110,164,911,921/243,639
  6. Step 6: Final answer
    x = 452,164.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.