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Finding the Third Proportional to 810,899 and 1,216,349

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Solution

The third proportional to 810,899 and 1,216,349 is: 1,824,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,899 : 1,216,349 = 1,216,349 : x
  2. Step 2: Convert to fraction form
    810,899/1,216,349 = 1,216,349/x
  3. Step 3: Cross multiply
    810,899x = 1,216,349 × 1,216,349
  4. Step 4: Simplify right side
    810,899x = 1,479,504,889,801
  5. Step 5: Solve for x
    x = 1,479,504,889,801/810,899
  6. Step 6: Final answer
    x = 1,824,524.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.