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Finding the Third Proportional to 356,508 and 534,831

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Solution

The third proportional to 356,508 and 534,831 is: 802,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,508 : 534,831 = 534,831 : x
  2. Step 2: Convert to fraction form
    356,508/534,831 = 534,831/x
  3. Step 3: Cross multiply
    356,508x = 534,831 × 534,831
  4. Step 4: Simplify right side
    356,508x = 286,044,198,561
  5. Step 5: Solve for x
    x = 286,044,198,561/356,508
  6. Step 6: Final answer
    x = 802,350.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.