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Finding the Third Proportional to 162,725 and 251,939

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Solution

The third proportional to 162,725 and 251,939 is: 390,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,725 : 251,939 = 251,939 : x
  2. Step 2: Convert to fraction form
    162,725/251,939 = 251,939/x
  3. Step 3: Cross multiply
    162,725x = 251,939 × 251,939
  4. Step 4: Simplify right side
    162,725x = 63,473,259,721
  5. Step 5: Solve for x
    x = 63,473,259,721/162,725
  6. Step 6: Final answer
    x = 390,064.59

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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.