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Finding the Third Proportional to 678,995.25 and 1,479,742.13

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Solution

The third proportional to 678,995.25 and 1,479,742.13 is: 3,224,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,995.25 : 1,479,742.13 = 1,479,742.13 : x
  2. Step 2: Convert to fraction form
    678,995.25/1,479,742.13 = 1,479,742.13/x
  3. Step 3: Cross multiply
    678,995.25x = 1,479,742.13 × 1,479,742.13
  4. Step 4: Simplify right side
    678,995.25x = 2,189,636,756,499.52
  5. Step 5: Solve for x
    x = 2,189,636,756,499.52/678,995.25
  6. Step 6: Final answer
    x = 3,224,818.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.