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Finding the Third Proportional to 75,413 and 158,170

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Solution

The third proportional to 75,413 and 158,170 is: 331,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413 : 158,170 = 158,170 : x
  2. Step 2: Convert to fraction form
    75,413/158,170 = 158,170/x
  3. Step 3: Cross multiply
    75,413x = 158,170 × 158,170
  4. Step 4: Simplify right side
    75,413x = 25,017,748,900
  5. Step 5: Solve for x
    x = 25,017,748,900/75,413
  6. Step 6: Final answer
    x = 331,743.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.