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Finding the Third Proportional to 440,072 and 661,080

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Solution

The third proportional to 440,072 and 661,080 is: 993,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,072 : 661,080 = 661,080 : x
  2. Step 2: Convert to fraction form
    440,072/661,080 = 661,080/x
  3. Step 3: Cross multiply
    440,072x = 661,080 × 661,080
  4. Step 4: Simplify right side
    440,072x = 437,026,766,400
  5. Step 5: Solve for x
    x = 437,026,766,400/440,072
  6. Step 6: Final answer
    x = 993,080.15

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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.