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Finding the Third Proportional to 587.30 and 1,275.84

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Solution

The third proportional to 587.30 and 1,275.84 is: 2,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.30 : 1,275.84 = 1,275.84 : x
  2. Step 2: Convert to fraction form
    587.30/1,275.84 = 1,275.84/x
  3. Step 3: Cross multiply
    587.30x = 1,275.84 × 1,275.84
  4. Step 4: Simplify right side
    587.30x = 1,627,777.27
  5. Step 5: Solve for x
    x = 1,627,777.27/587.30
  6. Step 6: Final answer
    x = 2,771.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.