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Finding the Third Proportional to 349,874 and 556,991

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Solution

The third proportional to 349,874 and 556,991 is: 886,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,874 : 556,991 = 556,991 : x
  2. Step 2: Convert to fraction form
    349,874/556,991 = 556,991/x
  3. Step 3: Cross multiply
    349,874x = 556,991 × 556,991
  4. Step 4: Simplify right side
    349,874x = 310,238,974,081
  5. Step 5: Solve for x
    x = 310,238,974,081/349,874
  6. Step 6: Final answer
    x = 886,716.29

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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.