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Finding the Third Proportional to 356,872 and 538,332

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Solution

The third proportional to 356,872 and 538,332 is: 812,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,872 : 538,332 = 538,332 : x
  2. Step 2: Convert to fraction form
    356,872/538,332 = 538,332/x
  3. Step 3: Cross multiply
    356,872x = 538,332 × 538,332
  4. Step 4: Simplify right side
    356,872x = 289,801,342,224
  5. Step 5: Solve for x
    x = 289,801,342,224/356,872
  6. Step 6: Final answer
    x = 812,059.62

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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.