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Finding the Third Proportional to 209,142 and 323,160

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Solution

The third proportional to 209,142 and 323,160 is: 499,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,142 : 323,160 = 323,160 : x
  2. Step 2: Convert to fraction form
    209,142/323,160 = 323,160/x
  3. Step 3: Cross multiply
    209,142x = 323,160 × 323,160
  4. Step 4: Simplify right side
    209,142x = 104,432,385,600
  5. Step 5: Solve for x
    x = 104,432,385,600/209,142
  6. Step 6: Final answer
    x = 499,337.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.