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Finding the Third Proportional to 310,146 and 491,911

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Solution

The third proportional to 310,146 and 491,911 is: 780,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,146 : 491,911 = 491,911 : x
  2. Step 2: Convert to fraction form
    310,146/491,911 = 491,911/x
  3. Step 3: Cross multiply
    310,146x = 491,911 × 491,911
  4. Step 4: Simplify right side
    310,146x = 241,976,431,921
  5. Step 5: Solve for x
    x = 241,976,431,921/310,146
  6. Step 6: Final answer
    x = 780,201.69

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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.