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Finding the Third Proportional to 356,916 and 523,458

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Solution

The third proportional to 356,916 and 523,458 is: 767,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,916 : 523,458 = 523,458 : x
  2. Step 2: Convert to fraction form
    356,916/523,458 = 523,458/x
  3. Step 3: Cross multiply
    356,916x = 523,458 × 523,458
  4. Step 4: Simplify right side
    356,916x = 274,008,277,764
  5. Step 5: Solve for x
    x = 274,008,277,764/356,916
  6. Step 6: Final answer
    x = 767,710.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.