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Finding the Third Proportional to 64,510 and 136,848

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Solution

The third proportional to 64,510 and 136,848 is: 290,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,510 : 136,848 = 136,848 : x
  2. Step 2: Convert to fraction form
    64,510/136,848 = 136,848/x
  3. Step 3: Cross multiply
    64,510x = 136,848 × 136,848
  4. Step 4: Simplify right side
    64,510x = 18,727,375,104
  5. Step 5: Solve for x
    x = 18,727,375,104/64,510
  6. Step 6: Final answer
    x = 290,301.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.