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Finding the Third Proportional to 318,932 and 497,806

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Solution

The third proportional to 318,932 and 497,806 is: 777,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,932 : 497,806 = 497,806 : x
  2. Step 2: Convert to fraction form
    318,932/497,806 = 497,806/x
  3. Step 3: Cross multiply
    318,932x = 497,806 × 497,806
  4. Step 4: Simplify right side
    318,932x = 247,810,813,636
  5. Step 5: Solve for x
    x = 247,810,813,636/318,932
  6. Step 6: Final answer
    x = 777,002.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.