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Finding the Third Proportional to 440,327.39 and 680,384.81

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Solution

The third proportional to 440,327.39 and 680,384.81 is: 1,051,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,327.39 : 680,384.81 = 680,384.81 : x
  2. Step 2: Convert to fraction form
    440,327.39/680,384.81 = 680,384.81/x
  3. Step 3: Cross multiply
    440,327.39x = 680,384.81 × 680,384.81
  4. Step 4: Simplify right side
    440,327.39x = 462,923,493,080.66
  5. Step 5: Solve for x
    x = 462,923,493,080.66/440,327.39
  6. Step 6: Final answer
    x = 1,051,316.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.