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Finding the Third Proportional to 261,401 and 387,243

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Solution

The third proportional to 261,401 and 387,243 is: 573,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,401 : 387,243 = 387,243 : x
  2. Step 2: Convert to fraction form
    261,401/387,243 = 387,243/x
  3. Step 3: Cross multiply
    261,401x = 387,243 × 387,243
  4. Step 4: Simplify right side
    261,401x = 149,957,141,049
  5. Step 5: Solve for x
    x = 149,957,141,049/261,401
  6. Step 6: Final answer
    x = 573,667.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.