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Finding the Third Proportional to 243,818 and 323,613

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Solution

The third proportional to 243,818 and 323,613 is: 429,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,818 : 323,613 = 323,613 : x
  2. Step 2: Convert to fraction form
    243,818/323,613 = 323,613/x
  3. Step 3: Cross multiply
    243,818x = 323,613 × 323,613
  4. Step 4: Simplify right side
    243,818x = 104,725,373,769
  5. Step 5: Solve for x
    x = 104,725,373,769/243,818
  6. Step 6: Final answer
    x = 429,522.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.