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Finding the Third Proportional to 241,080 and 387,135

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Solution

The third proportional to 241,080 and 387,135 is: 621,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,080 : 387,135 = 387,135 : x
  2. Step 2: Convert to fraction form
    241,080/387,135 = 387,135/x
  3. Step 3: Cross multiply
    241,080x = 387,135 × 387,135
  4. Step 4: Simplify right side
    241,080x = 149,873,508,225
  5. Step 5: Solve for x
    x = 149,873,508,225/241,080
  6. Step 6: Final answer
    x = 621,675.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.