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Finding the Third Proportional to 440,078 and 661,090

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Solution

The third proportional to 440,078 and 661,090 is: 993,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,078 : 661,090 = 661,090 : x
  2. Step 2: Convert to fraction form
    440,078/661,090 = 661,090/x
  3. Step 3: Cross multiply
    440,078x = 661,090 × 661,090
  4. Step 4: Simplify right side
    440,078x = 437,039,988,100
  5. Step 5: Solve for x
    x = 437,039,988,100/440,078
  6. Step 6: Final answer
    x = 993,096.65

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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.