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Finding the Third Proportional to 64,812 and 138,606

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Solution

The third proportional to 64,812 and 138,606 is: 296,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,812 : 138,606 = 138,606 : x
  2. Step 2: Convert to fraction form
    64,812/138,606 = 138,606/x
  3. Step 3: Cross multiply
    64,812x = 138,606 × 138,606
  4. Step 4: Simplify right side
    64,812x = 19,211,623,236
  5. Step 5: Solve for x
    x = 19,211,623,236/64,812
  6. Step 6: Final answer
    x = 296,420.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.