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Finding the Third Proportional to 132,217.50 and 290,679

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Solution

The third proportional to 132,217.50 and 290,679 is: 639,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,217.50 : 290,679 = 290,679 : x
  2. Step 2: Convert to fraction form
    132,217.50/290,679 = 290,679/x
  3. Step 3: Cross multiply
    132,217.50x = 290,679 × 290,679
  4. Step 4: Simplify right side
    132,217.50x = 84,494,281,041
  5. Step 5: Solve for x
    x = 84,494,281,041/132,217.50
  6. Step 6: Final answer
    x = 639,055.20

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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.