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Finding the Third Proportional to 336,128 and 520,400

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Solution

The third proportional to 336,128 and 520,400 is: 805,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,128 : 520,400 = 520,400 : x
  2. Step 2: Convert to fraction form
    336,128/520,400 = 520,400/x
  3. Step 3: Cross multiply
    336,128x = 520,400 × 520,400
  4. Step 4: Simplify right side
    336,128x = 270,816,160,000
  5. Step 5: Solve for x
    x = 270,816,160,000/336,128
  6. Step 6: Final answer
    x = 805,693.55

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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.