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Finding the Third Proportional to 121,598 and 181,911

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Solution

The third proportional to 121,598 and 181,911 is: 272,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,598 : 181,911 = 181,911 : x
  2. Step 2: Convert to fraction form
    121,598/181,911 = 181,911/x
  3. Step 3: Cross multiply
    121,598x = 181,911 × 181,911
  4. Step 4: Simplify right side
    121,598x = 33,091,611,921
  5. Step 5: Solve for x
    x = 33,091,611,921/121,598
  6. Step 6: Final answer
    x = 272,139.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.