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Finding the Third Proportional to 370,861 and 503,782

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Solution

The third proportional to 370,861 and 503,782 is: 684,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,861 : 503,782 = 503,782 : x
  2. Step 2: Convert to fraction form
    370,861/503,782 = 503,782/x
  3. Step 3: Cross multiply
    370,861x = 503,782 × 503,782
  4. Step 4: Simplify right side
    370,861x = 253,796,303,524
  5. Step 5: Solve for x
    x = 253,796,303,524/370,861
  6. Step 6: Final answer
    x = 684,343.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.