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Finding the Third Proportional to 153,028.50 and 215,115

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Solution

The third proportional to 153,028.50 and 215,115 is: 302,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,028.50 : 215,115 = 215,115 : x
  2. Step 2: Convert to fraction form
    153,028.50/215,115 = 215,115/x
  3. Step 3: Cross multiply
    153,028.50x = 215,115 × 215,115
  4. Step 4: Simplify right side
    153,028.50x = 46,274,463,225
  5. Step 5: Solve for x
    x = 46,274,463,225/153,028.50
  6. Step 6: Final answer
    x = 302,391.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.