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Finding the Third Proportional to 74,150 and 158,143

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Solution

The third proportional to 74,150 and 158,143 is: 337,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,150 : 158,143 = 158,143 : x
  2. Step 2: Convert to fraction form
    74,150/158,143 = 158,143/x
  3. Step 3: Cross multiply
    74,150x = 158,143 × 158,143
  4. Step 4: Simplify right side
    74,150x = 25,009,208,449
  5. Step 5: Solve for x
    x = 25,009,208,449/74,150
  6. Step 6: Final answer
    x = 337,278.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.