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Finding the Third Proportional to 578,812 and 1,240,684

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Solution

The third proportional to 578,812 and 1,240,684 is: 2,659,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,812 : 1,240,684 = 1,240,684 : x
  2. Step 2: Convert to fraction form
    578,812/1,240,684 = 1,240,684/x
  3. Step 3: Cross multiply
    578,812x = 1,240,684 × 1,240,684
  4. Step 4: Simplify right side
    578,812x = 1,539,296,787,856
  5. Step 5: Solve for x
    x = 1,539,296,787,856/578,812
  6. Step 6: Final answer
    x = 2,659,407.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.