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Finding the Third Proportional to 440,070.75 and 661,078.13

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Solution

The third proportional to 440,070.75 and 661,078.13 is: 993,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,070.75 : 661,078.13 = 661,078.13 : x
  2. Step 2: Convert to fraction form
    440,070.75/661,078.13 = 661,078.13/x
  3. Step 3: Cross multiply
    440,070.75x = 661,078.13 × 661,078.13
  4. Step 4: Simplify right side
    440,070.75x = 437,024,287,353.52
  5. Step 5: Solve for x
    x = 437,024,287,353.52/440,070.75
  6. Step 6: Final answer
    x = 993,077.33

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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.