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Finding the Third Proportional to 64,776 and 137,274

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Solution

The third proportional to 64,776 and 137,274 is: 290,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,776 : 137,274 = 137,274 : x
  2. Step 2: Convert to fraction form
    64,776/137,274 = 137,274/x
  3. Step 3: Cross multiply
    64,776x = 137,274 × 137,274
  4. Step 4: Simplify right side
    64,776x = 18,844,151,076
  5. Step 5: Solve for x
    x = 18,844,151,076/64,776
  6. Step 6: Final answer
    x = 290,912.55

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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.