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Finding the Third Proportional to 440,910 and 661,959

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Solution

The third proportional to 440,910 and 661,959 is: 993,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,910 : 661,959 = 661,959 : x
  2. Step 2: Convert to fraction form
    440,910/661,959 = 661,959/x
  3. Step 3: Cross multiply
    440,910x = 661,959 × 661,959
  4. Step 4: Simplify right side
    440,910x = 438,189,717,681
  5. Step 5: Solve for x
    x = 438,189,717,681/440,910
  6. Step 6: Final answer
    x = 993,830.30

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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.