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Finding the Third Proportional to 240,106 and 520,910

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Solution

The third proportional to 240,106 and 520,910 is: 1,130,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,106 : 520,910 = 520,910 : x
  2. Step 2: Convert to fraction form
    240,106/520,910 = 520,910/x
  3. Step 3: Cross multiply
    240,106x = 520,910 × 520,910
  4. Step 4: Simplify right side
    240,106x = 271,347,228,100
  5. Step 5: Solve for x
    x = 271,347,228,100/240,106
  6. Step 6: Final answer
    x = 1,130,114.32

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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.