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Finding the Third Proportional to 356,918 and 538,401

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Solution

The third proportional to 356,918 and 538,401 is: 812,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,918 : 538,401 = 538,401 : x
  2. Step 2: Convert to fraction form
    356,918/538,401 = 538,401/x
  3. Step 3: Cross multiply
    356,918x = 538,401 × 538,401
  4. Step 4: Simplify right side
    356,918x = 289,875,636,801
  5. Step 5: Solve for x
    x = 289,875,636,801/356,918
  6. Step 6: Final answer
    x = 812,163.12

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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.