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Finding the Third Proportional to 121,064.63 and 239,031

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Solution

The third proportional to 121,064.63 and 239,031 is: 471,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,064.63 : 239,031 = 239,031 : x
  2. Step 2: Convert to fraction form
    121,064.63/239,031 = 239,031/x
  3. Step 3: Cross multiply
    121,064.63x = 239,031 × 239,031
  4. Step 4: Simplify right side
    121,064.63x = 57,135,818,961
  5. Step 5: Solve for x
    x = 57,135,818,961/121,064.63
  6. Step 6: Final answer
    x = 471,944.79

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.