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Finding the Third Proportional to 381,173 and 508,160

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Solution

The third proportional to 381,173 and 508,160 is: 677,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,173 : 508,160 = 508,160 : x
  2. Step 2: Convert to fraction form
    381,173/508,160 = 508,160/x
  3. Step 3: Cross multiply
    381,173x = 508,160 × 508,160
  4. Step 4: Simplify right side
    381,173x = 258,226,585,600
  5. Step 5: Solve for x
    x = 258,226,585,600/381,173
  6. Step 6: Final answer
    x = 677,452.46

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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.