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Finding the Third Proportional to 691,782 and 1,490,286

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Solution

The third proportional to 691,782 and 1,490,286 is: 3,210,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,782 : 1,490,286 = 1,490,286 : x
  2. Step 2: Convert to fraction form
    691,782/1,490,286 = 1,490,286/x
  3. Step 3: Cross multiply
    691,782x = 1,490,286 × 1,490,286
  4. Step 4: Simplify right side
    691,782x = 2,220,952,361,796
  5. Step 5: Solve for x
    x = 2,220,952,361,796/691,782
  6. Step 6: Final answer
    x = 3,210,480.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.