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Finding the Third Proportional to 153,122.50 and 225,307.50

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Solution

The third proportional to 153,122.50 and 225,307.50 is: 331,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,122.50 : 225,307.50 = 225,307.50 : x
  2. Step 2: Convert to fraction form
    153,122.50/225,307.50 = 225,307.50/x
  3. Step 3: Cross multiply
    153,122.50x = 225,307.50 × 225,307.50
  4. Step 4: Simplify right side
    153,122.50x = 50,763,469,556.25
  5. Step 5: Solve for x
    x = 50,763,469,556.25/153,122.50
  6. Step 6: Final answer
    x = 331,521.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.