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Finding the Third Proportional to 425,248 and 685,179

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Solution

The third proportional to 425,248 and 685,179 is: 1,103,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,248 : 685,179 = 685,179 : x
  2. Step 2: Convert to fraction form
    425,248/685,179 = 685,179/x
  3. Step 3: Cross multiply
    425,248x = 685,179 × 685,179
  4. Step 4: Simplify right side
    425,248x = 469,470,262,041
  5. Step 5: Solve for x
    x = 469,470,262,041/425,248
  6. Step 6: Final answer
    x = 1,103,991.70

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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.