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Finding the Third Proportional to 380,864.53 and 827,331.47

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Solution

The third proportional to 380,864.53 and 827,331.47 is: 1,797,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,864.53 : 827,331.47 = 827,331.47 : x
  2. Step 2: Convert to fraction form
    380,864.53/827,331.47 = 827,331.47/x
  3. Step 3: Cross multiply
    380,864.53x = 827,331.47 × 827,331.47
  4. Step 4: Simplify right side
    380,864.53x = 684,477,359,184.03
  5. Step 5: Solve for x
    x = 684,477,359,184.03/380,864.53
  6. Step 6: Final answer
    x = 1,797,167.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.