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Finding the Third Proportional to 1,798.31 and 3,929.06

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Solution

The third proportional to 1,798.31 and 3,929.06 is: 8,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.31 : 3,929.06 = 3,929.06 : x
  2. Step 2: Convert to fraction form
    1,798.31/3,929.06 = 3,929.06/x
  3. Step 3: Cross multiply
    1,798.31x = 3,929.06 × 3,929.06
  4. Step 4: Simplify right side
    1,798.31x = 15,437,532.13
  5. Step 5: Solve for x
    x = 15,437,532.13/1,798.31
  6. Step 6: Final answer
    x = 8,584.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.