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Finding the Third Proportional to 490,845 and 754,209

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Solution

The third proportional to 490,845 and 754,209 is: 1,158,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,845 : 754,209 = 754,209 : x
  2. Step 2: Convert to fraction form
    490,845/754,209 = 754,209/x
  3. Step 3: Cross multiply
    490,845x = 754,209 × 754,209
  4. Step 4: Simplify right side
    490,845x = 568,831,215,681
  5. Step 5: Solve for x
    x = 568,831,215,681/490,845
  6. Step 6: Final answer
    x = 1,158,881.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.