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Finding the Third Proportional to 65,678 and 99,291

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Solution

The third proportional to 65,678 and 99,291 is: 150,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,678 : 99,291 = 99,291 : x
  2. Step 2: Convert to fraction form
    65,678/99,291 = 99,291/x
  3. Step 3: Cross multiply
    65,678x = 99,291 × 99,291
  4. Step 4: Simplify right side
    65,678x = 9,858,702,681
  5. Step 5: Solve for x
    x = 9,858,702,681/65,678
  6. Step 6: Final answer
    x = 150,106.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.