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Finding the Third Proportional to 381,238.31 and 508,259.81

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Solution

The third proportional to 381,238.31 and 508,259.81 is: 677,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,238.31 : 508,259.81 = 508,259.81 : x
  2. Step 2: Convert to fraction form
    381,238.31/508,259.81 = 508,259.81/x
  3. Step 3: Cross multiply
    381,238.31x = 508,259.81 × 508,259.81
  4. Step 4: Simplify right side
    381,238.31x = 258,328,037,002.54
  5. Step 5: Solve for x
    x = 258,328,037,002.54/381,238.31
  6. Step 6: Final answer
    x = 677,602.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.