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Finding the Third Proportional to 240,110 and 520,918

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Solution

The third proportional to 240,110 and 520,918 is: 1,130,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,110 : 520,918 = 520,918 : x
  2. Step 2: Convert to fraction form
    240,110/520,918 = 520,918/x
  3. Step 3: Cross multiply
    240,110x = 520,918 × 520,918
  4. Step 4: Simplify right side
    240,110x = 271,355,562,724
  5. Step 5: Solve for x
    x = 271,355,562,724/240,110
  6. Step 6: Final answer
    x = 1,130,130.20

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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.