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Finding the Third Proportional to 62,848 and 136,772

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Solution

The third proportional to 62,848 and 136,772 is: 297,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,848 : 136,772 = 136,772 : x
  2. Step 2: Convert to fraction form
    62,848/136,772 = 136,772/x
  3. Step 3: Cross multiply
    62,848x = 136,772 × 136,772
  4. Step 4: Simplify right side
    62,848x = 18,706,579,984
  5. Step 5: Solve for x
    x = 18,706,579,984/62,848
  6. Step 6: Final answer
    x = 297,647.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.