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Finding the Third Proportional to 425,243 and 685,173

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Solution

The third proportional to 425,243 and 685,173 is: 1,103,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,243 : 685,173 = 685,173 : x
  2. Step 2: Convert to fraction form
    425,243/685,173 = 685,173/x
  3. Step 3: Cross multiply
    425,243x = 685,173 × 685,173
  4. Step 4: Simplify right side
    425,243x = 469,462,039,929
  5. Step 5: Solve for x
    x = 469,462,039,929/425,243
  6. Step 6: Final answer
    x = 1,103,985.34

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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.