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Finding the Third Proportional to 718.56 and 1,539.63

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Solution

The third proportional to 718.56 and 1,539.63 is: 3,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.56 : 1,539.63 = 1,539.63 : x
  2. Step 2: Convert to fraction form
    718.56/1,539.63 = 1,539.63/x
  3. Step 3: Cross multiply
    718.56x = 1,539.63 × 1,539.63
  4. Step 4: Simplify right side
    718.56x = 2,370,469.20
  5. Step 5: Solve for x
    x = 2,370,469.20/718.56
  6. Step 6: Final answer
    x = 3,298.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.