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Finding the Third Proportional to 370,074 and 491,991

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Solution

The third proportional to 370,074 and 491,991 is: 654,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,074 : 491,991 = 491,991 : x
  2. Step 2: Convert to fraction form
    370,074/491,991 = 491,991/x
  3. Step 3: Cross multiply
    370,074x = 491,991 × 491,991
  4. Step 4: Simplify right side
    370,074x = 242,055,144,081
  5. Step 5: Solve for x
    x = 242,055,144,081/370,074
  6. Step 6: Final answer
    x = 654,072.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.