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Finding the Third Proportional to 74,731 and 157,900

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Solution

The third proportional to 74,731 and 157,900 is: 333,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,731 : 157,900 = 157,900 : x
  2. Step 2: Convert to fraction form
    74,731/157,900 = 157,900/x
  3. Step 3: Cross multiply
    74,731x = 157,900 × 157,900
  4. Step 4: Simplify right side
    74,731x = 24,932,410,000
  5. Step 5: Solve for x
    x = 24,932,410,000/74,731
  6. Step 6: Final answer
    x = 333,628.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.