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Finding the Third Proportional to 66,848 and 142,718

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Solution

The third proportional to 66,848 and 142,718 is: 304,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,848 : 142,718 = 142,718 : x
  2. Step 2: Convert to fraction form
    66,848/142,718 = 142,718/x
  3. Step 3: Cross multiply
    66,848x = 142,718 × 142,718
  4. Step 4: Simplify right side
    66,848x = 20,368,427,524
  5. Step 5: Solve for x
    x = 20,368,427,524/66,848
  6. Step 6: Final answer
    x = 304,697.64

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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.