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Finding the Third Proportional to 438,619 and 661,169

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Solution

The third proportional to 438,619 and 661,169 is: 996,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,619 : 661,169 = 661,169 : x
  2. Step 2: Convert to fraction form
    438,619/661,169 = 661,169/x
  3. Step 3: Cross multiply
    438,619x = 661,169 × 661,169
  4. Step 4: Simplify right side
    438,619x = 437,144,446,561
  5. Step 5: Solve for x
    x = 437,144,446,561/438,619
  6. Step 6: Final answer
    x = 996,638.19

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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.