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Finding the Third Proportional to 30,309.50 and 64,831

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Solution

The third proportional to 30,309.50 and 64,831 is: 138,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.50 : 64,831 = 64,831 : x
  2. Step 2: Convert to fraction form
    30,309.50/64,831 = 64,831/x
  3. Step 3: Cross multiply
    30,309.50x = 64,831 × 64,831
  4. Step 4: Simplify right side
    30,309.50x = 4,203,058,561
  5. Step 5: Solve for x
    x = 4,203,058,561/30,309.50
  6. Step 6: Final answer
    x = 138,671.33

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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.