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Finding the Third Proportional to 317,394 and 486,153

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Solution

The third proportional to 317,394 and 486,153 is: 744,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,394 : 486,153 = 486,153 : x
  2. Step 2: Convert to fraction form
    317,394/486,153 = 486,153/x
  3. Step 3: Cross multiply
    317,394x = 486,153 × 486,153
  4. Step 4: Simplify right side
    317,394x = 236,344,739,409
  5. Step 5: Solve for x
    x = 236,344,739,409/317,394
  6. Step 6: Final answer
    x = 744,641.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.