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Finding the Third Proportional to 398,140 and 859,632

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Solution

The third proportional to 398,140 and 859,632 is: 1,856,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,140 : 859,632 = 859,632 : x
  2. Step 2: Convert to fraction form
    398,140/859,632 = 859,632/x
  3. Step 3: Cross multiply
    398,140x = 859,632 × 859,632
  4. Step 4: Simplify right side
    398,140x = 738,967,175,424
  5. Step 5: Solve for x
    x = 738,967,175,424/398,140
  6. Step 6: Final answer
    x = 1,856,048.56

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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.