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Finding the Third Proportional to 138,172.50 and 297,533.25

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Solution

The third proportional to 138,172.50 and 297,533.25 is: 640,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,172.50 : 297,533.25 = 297,533.25 : x
  2. Step 2: Convert to fraction form
    138,172.50/297,533.25 = 297,533.25/x
  3. Step 3: Cross multiply
    138,172.50x = 297,533.25 × 297,533.25
  4. Step 4: Simplify right side
    138,172.50x = 88,526,034,855.56
  5. Step 5: Solve for x
    x = 88,526,034,855.56/138,172.50
  6. Step 6: Final answer
    x = 640,692.14

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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.