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Finding the Third Proportional to 61,911 and 135,689

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Solution

The third proportional to 61,911 and 135,689 is: 297,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,911 : 135,689 = 135,689 : x
  2. Step 2: Convert to fraction form
    61,911/135,689 = 135,689/x
  3. Step 3: Cross multiply
    61,911x = 135,689 × 135,689
  4. Step 4: Simplify right side
    61,911x = 18,411,504,721
  5. Step 5: Solve for x
    x = 18,411,504,721/61,911
  6. Step 6: Final answer
    x = 297,386.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.