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Finding the Third Proportional to 69,696 and 153,459

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Solution

The third proportional to 69,696 and 153,459 is: 337,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,696 : 153,459 = 153,459 : x
  2. Step 2: Convert to fraction form
    69,696/153,459 = 153,459/x
  3. Step 3: Cross multiply
    69,696x = 153,459 × 153,459
  4. Step 4: Simplify right side
    69,696x = 23,549,664,681
  5. Step 5: Solve for x
    x = 23,549,664,681/69,696
  6. Step 6: Final answer
    x = 337,891.19

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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.