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Finding the Third Proportional to 179,721 and 272,862

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Solution

The third proportional to 179,721 and 272,862 is: 414,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,721 : 272,862 = 272,862 : x
  2. Step 2: Convert to fraction form
    179,721/272,862 = 272,862/x
  3. Step 3: Cross multiply
    179,721x = 272,862 × 272,862
  4. Step 4: Simplify right side
    179,721x = 74,453,671,044
  5. Step 5: Solve for x
    x = 74,453,671,044/179,721
  6. Step 6: Final answer
    x = 414,273.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.