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Finding the Third Proportional to 840.94 and 1,985.34

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Solution

The third proportional to 840.94 and 1,985.34 is: 4,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.94 : 1,985.34 = 1,985.34 : x
  2. Step 2: Convert to fraction form
    840.94/1,985.34 = 1,985.34/x
  3. Step 3: Cross multiply
    840.94x = 1,985.34 × 1,985.34
  4. Step 4: Simplify right side
    840.94x = 3,941,589.81
  5. Step 5: Solve for x
    x = 3,941,589.81/840.94
  6. Step 6: Final answer
    x = 4,687.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.