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Finding the Third Proportional to 174,612 and 381,209

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Solution

The third proportional to 174,612 and 381,209 is: 832,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,612 : 381,209 = 381,209 : x
  2. Step 2: Convert to fraction form
    174,612/381,209 = 381,209/x
  3. Step 3: Cross multiply
    174,612x = 381,209 × 381,209
  4. Step 4: Simplify right side
    174,612x = 145,320,301,681
  5. Step 5: Solve for x
    x = 145,320,301,681/174,612
  6. Step 6: Final answer
    x = 832,246.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.