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Finding the Third Proportional to 438,617 and 661,166

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Solution

The third proportional to 438,617 and 661,166 is: 996,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,617 : 661,166 = 661,166 : x
  2. Step 2: Convert to fraction form
    438,617/661,166 = 661,166/x
  3. Step 3: Cross multiply
    438,617x = 661,166 × 661,166
  4. Step 4: Simplify right side
    438,617x = 437,140,479,556
  5. Step 5: Solve for x
    x = 437,140,479,556/438,617
  6. Step 6: Final answer
    x = 996,633.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.