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Finding the Third Proportional to 356,912 and 538,392

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Solution

The third proportional to 356,912 and 538,392 is: 812,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,912 : 538,392 = 538,392 : x
  2. Step 2: Convert to fraction form
    356,912/538,392 = 538,392/x
  3. Step 3: Cross multiply
    356,912x = 538,392 × 538,392
  4. Step 4: Simplify right side
    356,912x = 289,865,945,664
  5. Step 5: Solve for x
    x = 289,865,945,664/356,912
  6. Step 6: Final answer
    x = 812,149.62

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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.