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Finding the Third Proportional to 1,985.13 and 4,489.17

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Solution

The third proportional to 1,985.13 and 4,489.17 is: 10,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.13 : 4,489.17 = 4,489.17 : x
  2. Step 2: Convert to fraction form
    1,985.13/4,489.17 = 4,489.17/x
  3. Step 3: Cross multiply
    1,985.13x = 4,489.17 × 4,489.17
  4. Step 4: Simplify right side
    1,985.13x = 20,152,664.12
  5. Step 5: Solve for x
    x = 20,152,664.12/1,985.13
  6. Step 6: Final answer
    x = 10,151.80

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.