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Finding the Third Proportional to 155,642 and 234,867

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Solution

The third proportional to 155,642 and 234,867 is: 354,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,642 : 234,867 = 234,867 : x
  2. Step 2: Convert to fraction form
    155,642/234,867 = 234,867/x
  3. Step 3: Cross multiply
    155,642x = 234,867 × 234,867
  4. Step 4: Simplify right side
    155,642x = 55,162,507,689
  5. Step 5: Solve for x
    x = 55,162,507,689/155,642
  6. Step 6: Final answer
    x = 354,419.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.