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Finding the Third Proportional to 398,142 and 859,636

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Solution

The third proportional to 398,142 and 859,636 is: 1,856,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,142 : 859,636 = 859,636 : x
  2. Step 2: Convert to fraction form
    398,142/859,636 = 859,636/x
  3. Step 3: Cross multiply
    398,142x = 859,636 × 859,636
  4. Step 4: Simplify right side
    398,142x = 738,974,052,496
  5. Step 5: Solve for x
    x = 738,974,052,496/398,142
  6. Step 6: Final answer
    x = 1,856,056.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.