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Finding the Third Proportional to 575.12 and 1,242.21

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Solution

The third proportional to 575.12 and 1,242.21 is: 2,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.12 : 1,242.21 = 1,242.21 : x
  2. Step 2: Convert to fraction form
    575.12/1,242.21 = 1,242.21/x
  3. Step 3: Cross multiply
    575.12x = 1,242.21 × 1,242.21
  4. Step 4: Simplify right side
    575.12x = 1,543,088.01
  5. Step 5: Solve for x
    x = 1,543,088.01/575.12
  6. Step 6: Final answer
    x = 2,683.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.