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Finding the Third Proportional to 1,915.76 and 4,577.96

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Solution

The third proportional to 1,915.76 and 4,577.96 is: 10,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.76 : 4,577.96 = 4,577.96 : x
  2. Step 2: Convert to fraction form
    1,915.76/4,577.96 = 4,577.96/x
  3. Step 3: Cross multiply
    1,915.76x = 4,577.96 × 4,577.96
  4. Step 4: Simplify right side
    1,915.76x = 20,957,748.70
  5. Step 5: Solve for x
    x = 20,957,748.70/1,915.76
  6. Step 6: Final answer
    x = 10,939.65

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.