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Finding the Third Proportional to 243,878 and 366,467

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Solution

The third proportional to 243,878 and 366,467 is: 550,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,878 : 366,467 = 366,467 : x
  2. Step 2: Convert to fraction form
    243,878/366,467 = 366,467/x
  3. Step 3: Cross multiply
    243,878x = 366,467 × 366,467
  4. Step 4: Simplify right side
    243,878x = 134,298,062,089
  5. Step 5: Solve for x
    x = 134,298,062,089/243,878
  6. Step 6: Final answer
    x = 550,677.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.