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Finding the Third Proportional to 261,612 and 394,335

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Solution

The third proportional to 261,612 and 394,335 is: 594,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,612 : 394,335 = 394,335 : x
  2. Step 2: Convert to fraction form
    261,612/394,335 = 394,335/x
  3. Step 3: Cross multiply
    261,612x = 394,335 × 394,335
  4. Step 4: Simplify right side
    261,612x = 155,500,092,225
  5. Step 5: Solve for x
    x = 155,500,092,225/261,612
  6. Step 6: Final answer
    x = 594,392.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.