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Finding the Third Proportional to 69,765 and 149,370

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Solution

The third proportional to 69,765 and 149,370 is: 319,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,765 : 149,370 = 149,370 : x
  2. Step 2: Convert to fraction form
    69,765/149,370 = 149,370/x
  3. Step 3: Cross multiply
    69,765x = 149,370 × 149,370
  4. Step 4: Simplify right side
    69,765x = 22,311,396,900
  5. Step 5: Solve for x
    x = 22,311,396,900/69,765
  6. Step 6: Final answer
    x = 319,807.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.