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Finding the Third Proportional to 2,989.13 and 4,897.69

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Solution

The third proportional to 2,989.13 and 4,897.69 is: 8,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.13 : 4,897.69 = 4,897.69 : x
  2. Step 2: Convert to fraction form
    2,989.13/4,897.69 = 4,897.69/x
  3. Step 3: Cross multiply
    2,989.13x = 4,897.69 × 4,897.69
  4. Step 4: Simplify right side
    2,989.13x = 23,987,342.85
  5. Step 5: Solve for x
    x = 23,987,342.85/2,989.13
  6. Step 6: Final answer
    x = 8,024.87

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.