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Finding the Third Proportional to 119,153 and 261,921

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Solution

The third proportional to 119,153 and 261,921 is: 575,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,153 : 261,921 = 261,921 : x
  2. Step 2: Convert to fraction form
    119,153/261,921 = 261,921/x
  3. Step 3: Cross multiply
    119,153x = 261,921 × 261,921
  4. Step 4: Simplify right side
    119,153x = 68,602,610,241
  5. Step 5: Solve for x
    x = 68,602,610,241/119,153
  6. Step 6: Final answer
    x = 575,752.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.