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Finding the Third Proportional to 336,021 and 520,176.50

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Solution

The third proportional to 336,021 and 520,176.50 is: 805,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,021 : 520,176.50 = 520,176.50 : x
  2. Step 2: Convert to fraction form
    336,021/520,176.50 = 520,176.50/x
  3. Step 3: Cross multiply
    336,021x = 520,176.50 × 520,176.50
  4. Step 4: Simplify right side
    336,021x = 270,583,591,152.25
  5. Step 5: Solve for x
    x = 270,583,591,152.25/336,021
  6. Step 6: Final answer
    x = 805,257.98

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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.