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Finding the Third Proportional to 467,180 and 721,784

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Solution

The third proportional to 467,180 and 721,784 is: 1,115,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,180 : 721,784 = 721,784 : x
  2. Step 2: Convert to fraction form
    467,180/721,784 = 721,784/x
  3. Step 3: Cross multiply
    467,180x = 721,784 × 721,784
  4. Step 4: Simplify right side
    467,180x = 520,972,142,656
  5. Step 5: Solve for x
    x = 520,972,142,656/467,180
  6. Step 6: Final answer
    x = 1,115,142.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.