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Finding the Third Proportional to 764.63 and 1,574.63

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Solution

The third proportional to 764.63 and 1,574.63 is: 3,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.63 : 1,574.63 = 1,574.63 : x
  2. Step 2: Convert to fraction form
    764.63/1,574.63 = 1,574.63/x
  3. Step 3: Cross multiply
    764.63x = 1,574.63 × 1,574.63
  4. Step 4: Simplify right side
    764.63x = 2,479,443.89
  5. Step 5: Solve for x
    x = 2,479,443.89/764.63
  6. Step 6: Final answer
    x = 3,242.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.