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Finding the Third Proportional to 868,812 and 1,345,257

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Solution

The third proportional to 868,812 and 1,345,257 is: 2,082,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,812 : 1,345,257 = 1,345,257 : x
  2. Step 2: Convert to fraction form
    868,812/1,345,257 = 1,345,257/x
  3. Step 3: Cross multiply
    868,812x = 1,345,257 × 1,345,257
  4. Step 4: Simplify right side
    868,812x = 1,809,716,396,049
  5. Step 5: Solve for x
    x = 1,809,716,396,049/868,812
  6. Step 6: Final answer
    x = 2,082,978.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.