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Finding the Third Proportional to 142,991 and 310,882

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Solution

The third proportional to 142,991 and 310,882 is: 675,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,991 : 310,882 = 310,882 : x
  2. Step 2: Convert to fraction form
    142,991/310,882 = 310,882/x
  3. Step 3: Cross multiply
    142,991x = 310,882 × 310,882
  4. Step 4: Simplify right side
    142,991x = 96,647,617,924
  5. Step 5: Solve for x
    x = 96,647,617,924/142,991
  6. Step 6: Final answer
    x = 675,900.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.