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Finding the Third Proportional to 336,104 and 520,438

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Solution

The third proportional to 336,104 and 520,438 is: 805,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,104 : 520,438 = 520,438 : x
  2. Step 2: Convert to fraction form
    336,104/520,438 = 520,438/x
  3. Step 3: Cross multiply
    336,104x = 520,438 × 520,438
  4. Step 4: Simplify right side
    336,104x = 270,855,711,844
  5. Step 5: Solve for x
    x = 270,855,711,844/336,104
  6. Step 6: Final answer
    x = 805,868.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.