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Finding the Third Proportional to 240,107 and 520,912

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Solution

The third proportional to 240,107 and 520,912 is: 1,130,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,107 : 520,912 = 520,912 : x
  2. Step 2: Convert to fraction form
    240,107/520,912 = 520,912/x
  3. Step 3: Cross multiply
    240,107x = 520,912 × 520,912
  4. Step 4: Simplify right side
    240,107x = 271,349,311,744
  5. Step 5: Solve for x
    x = 271,349,311,744/240,107
  6. Step 6: Final answer
    x = 1,130,118.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.