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Finding the Third Proportional to 145,524.50 and 312,311

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Solution

The third proportional to 145,524.50 and 312,311 is: 670,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,524.50 : 312,311 = 312,311 : x
  2. Step 2: Convert to fraction form
    145,524.50/312,311 = 312,311/x
  3. Step 3: Cross multiply
    145,524.50x = 312,311 × 312,311
  4. Step 4: Simplify right side
    145,524.50x = 97,538,160,721
  5. Step 5: Solve for x
    x = 97,538,160,721/145,524.50
  6. Step 6: Final answer
    x = 670,252.51

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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.