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Finding the Third Proportional to 262,836 and 399,448

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Solution

The third proportional to 262,836 and 399,448 is: 607,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,836 : 399,448 = 399,448 : x
  2. Step 2: Convert to fraction form
    262,836/399,448 = 399,448/x
  3. Step 3: Cross multiply
    262,836x = 399,448 × 399,448
  4. Step 4: Simplify right side
    262,836x = 159,558,704,704
  5. Step 5: Solve for x
    x = 159,558,704,704/262,836
  6. Step 6: Final answer
    x = 607,065.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.