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Finding the Third Proportional to 12,907.50 and 28,275

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Solution

The third proportional to 12,907.50 and 28,275 is: 61,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.50 : 28,275 = 28,275 : x
  2. Step 2: Convert to fraction form
    12,907.50/28,275 = 28,275/x
  3. Step 3: Cross multiply
    12,907.50x = 28,275 × 28,275
  4. Step 4: Simplify right side
    12,907.50x = 799,475,625
  5. Step 5: Solve for x
    x = 799,475,625/12,907.50
  6. Step 6: Final answer
    x = 61,938.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.