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Finding the Third Proportional to 240,769 and 521,661

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Solution

The third proportional to 240,769 and 521,661 is: 1,130,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,769 : 521,661 = 521,661 : x
  2. Step 2: Convert to fraction form
    240,769/521,661 = 521,661/x
  3. Step 3: Cross multiply
    240,769x = 521,661 × 521,661
  4. Step 4: Simplify right side
    240,769x = 272,130,198,921
  5. Step 5: Solve for x
    x = 272,130,198,921/240,769
  6. Step 6: Final answer
    x = 1,130,254.31

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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.