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Finding the Third Proportional to 486,396 and 654,804

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Solution

The third proportional to 486,396 and 654,804 is: 881,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,396 : 654,804 = 654,804 : x
  2. Step 2: Convert to fraction form
    486,396/654,804 = 654,804/x
  3. Step 3: Cross multiply
    486,396x = 654,804 × 654,804
  4. Step 4: Simplify right side
    486,396x = 428,768,278,416
  5. Step 5: Solve for x
    x = 428,768,278,416/486,396
  6. Step 6: Final answer
    x = 881,520.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.