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Finding the Third Proportional to 115,422 and 180,423

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Solution

The third proportional to 115,422 and 180,423 is: 282,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,422 : 180,423 = 180,423 : x
  2. Step 2: Convert to fraction form
    115,422/180,423 = 180,423/x
  3. Step 3: Cross multiply
    115,422x = 180,423 × 180,423
  4. Step 4: Simplify right side
    115,422x = 32,552,458,929
  5. Step 5: Solve for x
    x = 32,552,458,929/115,422
  6. Step 6: Final answer
    x = 282,029.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.