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Finding the Third Proportional to 440,930 and 661,989

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Solution

The third proportional to 440,930 and 661,989 is: 993,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,930 : 661,989 = 661,989 : x
  2. Step 2: Convert to fraction form
    440,930/661,989 = 661,989/x
  3. Step 3: Cross multiply
    440,930x = 661,989 × 661,989
  4. Step 4: Simplify right side
    440,930x = 438,229,436,121
  5. Step 5: Solve for x
    x = 438,229,436,121/440,930
  6. Step 6: Final answer
    x = 993,875.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.