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Finding the Third Proportional to 760.78 and 1,658.25

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Solution

The third proportional to 760.78 and 1,658.25 is: 3,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.78 : 1,658.25 = 1,658.25 : x
  2. Step 2: Convert to fraction form
    760.78/1,658.25 = 1,658.25/x
  3. Step 3: Cross multiply
    760.78x = 1,658.25 × 1,658.25
  4. Step 4: Simplify right side
    760.78x = 2,749,793.06
  5. Step 5: Solve for x
    x = 2,749,793.06/760.78
  6. Step 6: Final answer
    x = 3,614.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.