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Finding the Third Proportional to 336,020 and 520,175

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Solution

The third proportional to 336,020 and 520,175 is: 805,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,020 : 520,175 = 520,175 : x
  2. Step 2: Convert to fraction form
    336,020/520,175 = 520,175/x
  3. Step 3: Cross multiply
    336,020x = 520,175 × 520,175
  4. Step 4: Simplify right side
    336,020x = 270,582,030,625
  5. Step 5: Solve for x
    x = 270,582,030,625/336,020
  6. Step 6: Final answer
    x = 805,255.73

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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.