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Finding the Third Proportional to 440,071 and 661,079

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Solution

The third proportional to 440,071 and 661,079 is: 993,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,071 : 661,079 = 661,079 : x
  2. Step 2: Convert to fraction form
    440,071/661,079 = 661,079/x
  3. Step 3: Cross multiply
    440,071x = 661,079 × 661,079
  4. Step 4: Simplify right side
    440,071x = 437,025,444,241
  5. Step 5: Solve for x
    x = 437,025,444,241/440,071
  6. Step 6: Final answer
    x = 993,079.40

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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.