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Finding the Third Proportional to 561,656 and 1,211,880

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Solution

The third proportional to 561,656 and 1,211,880 is: 2,614,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,656 : 1,211,880 = 1,211,880 : x
  2. Step 2: Convert to fraction form
    561,656/1,211,880 = 1,211,880/x
  3. Step 3: Cross multiply
    561,656x = 1,211,880 × 1,211,880
  4. Step 4: Simplify right side
    561,656x = 1,468,653,134,400
  5. Step 5: Solve for x
    x = 1,468,653,134,400/561,656
  6. Step 6: Final answer
    x = 2,614,862.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.