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Finding the Third Proportional to 346.88 and 763.69

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Solution

The third proportional to 346.88 and 763.69 is: 1,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.88 : 763.69 = 763.69 : x
  2. Step 2: Convert to fraction form
    346.88/763.69 = 763.69/x
  3. Step 3: Cross multiply
    346.88x = 763.69 × 763.69
  4. Step 4: Simplify right side
    346.88x = 583,218.60
  5. Step 5: Solve for x
    x = 583,218.60/346.88
  6. Step 6: Final answer
    x = 1,681.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.