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Finding the Third Proportional to 425,246 and 685,176

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Solution

The third proportional to 425,246 and 685,176 is: 1,103,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,246 : 685,176 = 685,176 : x
  2. Step 2: Convert to fraction form
    425,246/685,176 = 685,176/x
  3. Step 3: Cross multiply
    425,246x = 685,176 × 685,176
  4. Step 4: Simplify right side
    425,246x = 469,466,150,976
  5. Step 5: Solve for x
    x = 469,466,150,976/425,246
  6. Step 6: Final answer
    x = 1,103,987.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.