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Finding the Third Proportional to 335,980 and 520,222

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Solution

The third proportional to 335,980 and 520,222 is: 805,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,980 : 520,222 = 520,222 : x
  2. Step 2: Convert to fraction form
    335,980/520,222 = 520,222/x
  3. Step 3: Cross multiply
    335,980x = 520,222 × 520,222
  4. Step 4: Simplify right side
    335,980x = 270,630,929,284
  5. Step 5: Solve for x
    x = 270,630,929,284/335,980
  6. Step 6: Final answer
    x = 805,497.14

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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.