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Finding the Third Proportional to 66,138 and 142,731

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Solution

The third proportional to 66,138 and 142,731 is: 308,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,138 : 142,731 = 142,731 : x
  2. Step 2: Convert to fraction form
    66,138/142,731 = 142,731/x
  3. Step 3: Cross multiply
    66,138x = 142,731 × 142,731
  4. Step 4: Simplify right side
    66,138x = 20,372,138,361
  5. Step 5: Solve for x
    x = 20,372,138,361/66,138
  6. Step 6: Final answer
    x = 308,024.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.