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Finding the Third Proportional to 100,420 and 158,982

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Solution

The third proportional to 100,420 and 158,982 is: 251,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420 : 158,982 = 158,982 : x
  2. Step 2: Convert to fraction form
    100,420/158,982 = 158,982/x
  3. Step 3: Cross multiply
    100,420x = 158,982 × 158,982
  4. Step 4: Simplify right side
    100,420x = 25,275,276,324
  5. Step 5: Solve for x
    x = 25,275,276,324/100,420
  6. Step 6: Final answer
    x = 251,695.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.