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Finding the Third Proportional to 400,560 and 857,980

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Solution

The third proportional to 400,560 and 857,980 is: 1,837,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,560 : 857,980 = 857,980 : x
  2. Step 2: Convert to fraction form
    400,560/857,980 = 857,980/x
  3. Step 3: Cross multiply
    400,560x = 857,980 × 857,980
  4. Step 4: Simplify right side
    400,560x = 736,129,680,400
  5. Step 5: Solve for x
    x = 736,129,680,400/400,560
  6. Step 6: Final answer
    x = 1,837,751.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.