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Finding the Third Proportional to 438,599 and 661,137

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Solution

The third proportional to 438,599 and 661,137 is: 996,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,599 : 661,137 = 661,137 : x
  2. Step 2: Convert to fraction form
    438,599/661,137 = 661,137/x
  3. Step 3: Cross multiply
    438,599x = 661,137 × 661,137
  4. Step 4: Simplify right side
    438,599x = 437,102,132,769
  5. Step 5: Solve for x
    x = 437,102,132,769/438,599
  6. Step 6: Final answer
    x = 996,587.16

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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.