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Finding the Third Proportional to 69,294 and 149,676

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Solution

The third proportional to 69,294 and 149,676 is: 323,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,294 : 149,676 = 149,676 : x
  2. Step 2: Convert to fraction form
    69,294/149,676 = 149,676/x
  3. Step 3: Cross multiply
    69,294x = 149,676 × 149,676
  4. Step 4: Simplify right side
    69,294x = 22,402,904,976
  5. Step 5: Solve for x
    x = 22,402,904,976/69,294
  6. Step 6: Final answer
    x = 323,302.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.