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Finding the Third Proportional to 335,910 and 520,091

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Solution

The third proportional to 335,910 and 520,091 is: 805,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,910 : 520,091 = 520,091 : x
  2. Step 2: Convert to fraction form
    335,910/520,091 = 520,091/x
  3. Step 3: Cross multiply
    335,910x = 520,091 × 520,091
  4. Step 4: Simplify right side
    335,910x = 270,494,648,281
  5. Step 5: Solve for x
    x = 270,494,648,281/335,910
  6. Step 6: Final answer
    x = 805,259.29

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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.