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Finding the Third Proportional to 310,144 and 491,908

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Solution

The third proportional to 310,144 and 491,908 is: 780,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,144 : 491,908 = 491,908 : x
  2. Step 2: Convert to fraction form
    310,144/491,908 = 491,908/x
  3. Step 3: Cross multiply
    310,144x = 491,908 × 491,908
  4. Step 4: Simplify right side
    310,144x = 241,973,480,464
  5. Step 5: Solve for x
    x = 241,973,480,464/310,144
  6. Step 6: Final answer
    x = 780,197.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.