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Finding the Third Proportional to 2,989.69 and 6,490.69

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Solution

The third proportional to 2,989.69 and 6,490.69 is: 14,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.69 : 6,490.69 = 6,490.69 : x
  2. Step 2: Convert to fraction form
    2,989.69/6,490.69 = 6,490.69/x
  3. Step 3: Cross multiply
    2,989.69x = 6,490.69 × 6,490.69
  4. Step 4: Simplify right side
    2,989.69x = 42,129,024.22
  5. Step 5: Solve for x
    x = 42,129,024.22/2,989.69
  6. Step 6: Final answer
    x = 14,091.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.