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Finding the Third Proportional to 467,184 and 721,790

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Solution

The third proportional to 467,184 and 721,790 is: 1,115,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,184 : 721,790 = 721,790 : x
  2. Step 2: Convert to fraction form
    467,184/721,790 = 721,790/x
  3. Step 3: Cross multiply
    467,184x = 721,790 × 721,790
  4. Step 4: Simplify right side
    467,184x = 520,980,804,100
  5. Step 5: Solve for x
    x = 520,980,804,100/467,184
  6. Step 6: Final answer
    x = 1,115,151.21

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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.