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Finding the Third Proportional to 75,417 and 158,178

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Solution

The third proportional to 75,417 and 158,178 is: 331,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,417 : 158,178 = 158,178 : x
  2. Step 2: Convert to fraction form
    75,417/158,178 = 158,178/x
  3. Step 3: Cross multiply
    75,417x = 158,178 × 158,178
  4. Step 4: Simplify right side
    75,417x = 25,020,279,684
  5. Step 5: Solve for x
    x = 25,020,279,684/75,417
  6. Step 6: Final answer
    x = 331,759.15

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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.