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Finding the Third Proportional to 515,175 and 757,865.25

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Solution

The third proportional to 515,175 and 757,865.25 is: 1,114,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,175 : 757,865.25 = 757,865.25 : x
  2. Step 2: Convert to fraction form
    515,175/757,865.25 = 757,865.25/x
  3. Step 3: Cross multiply
    515,175x = 757,865.25 × 757,865.25
  4. Step 4: Simplify right side
    515,175x = 574,359,737,157.56
  5. Step 5: Solve for x
    x = 574,359,737,157.56/515,175
  6. Step 6: Final answer
    x = 1,114,882.78

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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.