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Finding the Third Proportional to 66,848 and 142,592

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Solution

The third proportional to 66,848 and 142,592 is: 304,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,848 : 142,592 = 142,592 : x
  2. Step 2: Convert to fraction form
    66,848/142,592 = 142,592/x
  3. Step 3: Cross multiply
    66,848x = 142,592 × 142,592
  4. Step 4: Simplify right side
    66,848x = 20,332,478,464
  5. Step 5: Solve for x
    x = 20,332,478,464/66,848
  6. Step 6: Final answer
    x = 304,159.86

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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.