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Finding the Third Proportional to 1,777.89 and 3,897.49

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Solution

The third proportional to 1,777.89 and 3,897.49 is: 8,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.89 : 3,897.49 = 3,897.49 : x
  2. Step 2: Convert to fraction form
    1,777.89/3,897.49 = 3,897.49/x
  3. Step 3: Cross multiply
    1,777.89x = 3,897.49 × 3,897.49
  4. Step 4: Simplify right side
    1,777.89x = 15,190,445.35
  5. Step 5: Solve for x
    x = 15,190,445.35/1,777.89
  6. Step 6: Final answer
    x = 8,544.10

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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.