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Finding the Third Proportional to 1,929.75 and 3,109.13

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Solution

The third proportional to 1,929.75 and 3,109.13 is: 5,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.75 : 3,109.13 = 3,109.13 : x
  2. Step 2: Convert to fraction form
    1,929.75/3,109.13 = 3,109.13/x
  3. Step 3: Cross multiply
    1,929.75x = 3,109.13 × 3,109.13
  4. Step 4: Simplify right side
    1,929.75x = 9,666,658.27
  5. Step 5: Solve for x
    x = 9,666,658.27/1,929.75
  6. Step 6: Final answer
    x = 5,009.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.