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Finding the Third Proportional to 121,567 and 261,863

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Solution

The third proportional to 121,567 and 261,863 is: 564,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,567 : 261,863 = 261,863 : x
  2. Step 2: Convert to fraction form
    121,567/261,863 = 261,863/x
  3. Step 3: Cross multiply
    121,567x = 261,863 × 261,863
  4. Step 4: Simplify right side
    121,567x = 68,572,230,769
  5. Step 5: Solve for x
    x = 68,572,230,769/121,567
  6. Step 6: Final answer
    x = 564,069.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.