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Finding the Third Proportional to 162,721 and 251,933

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Solution

The third proportional to 162,721 and 251,933 is: 390,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,721 : 251,933 = 251,933 : x
  2. Step 2: Convert to fraction form
    162,721/251,933 = 251,933/x
  3. Step 3: Cross multiply
    162,721x = 251,933 × 251,933
  4. Step 4: Simplify right side
    162,721x = 63,470,236,489
  5. Step 5: Solve for x
    x = 63,470,236,489/162,721
  6. Step 6: Final answer
    x = 390,055.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.