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Finding the Third Proportional to 69,311 and 104,459

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Solution

The third proportional to 69,311 and 104,459 is: 157,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,311 : 104,459 = 104,459 : x
  2. Step 2: Convert to fraction form
    69,311/104,459 = 104,459/x
  3. Step 3: Cross multiply
    69,311x = 104,459 × 104,459
  4. Step 4: Simplify right side
    69,311x = 10,911,682,681
  5. Step 5: Solve for x
    x = 10,911,682,681/69,311
  6. Step 6: Final answer
    x = 157,430.75

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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.