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Finding the Third Proportional to 149,738 and 321,382

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Solution

The third proportional to 149,738 and 321,382 is: 689,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,738 : 321,382 = 321,382 : x
  2. Step 2: Convert to fraction form
    149,738/321,382 = 321,382/x
  3. Step 3: Cross multiply
    149,738x = 321,382 × 321,382
  4. Step 4: Simplify right side
    149,738x = 103,286,389,924
  5. Step 5: Solve for x
    x = 103,286,389,924/149,738
  6. Step 6: Final answer
    x = 689,780.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.