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Finding the Third Proportional to 931.63 and 2,047.75

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Solution

The third proportional to 931.63 and 2,047.75 is: 4,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.63 : 2,047.75 = 2,047.75 : x
  2. Step 2: Convert to fraction form
    931.63/2,047.75 = 2,047.75/x
  3. Step 3: Cross multiply
    931.63x = 2,047.75 × 2,047.75
  4. Step 4: Simplify right side
    931.63x = 4,193,280.06
  5. Step 5: Solve for x
    x = 4,193,280.06/931.63
  6. Step 6: Final answer
    x = 4,501.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.