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Finding the Third Proportional to 259.78 and 432.94

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Solution

The third proportional to 259.78 and 432.94 is: 721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.78 : 432.94 = 432.94 : x
  2. Step 2: Convert to fraction form
    259.78/432.94 = 432.94/x
  3. Step 3: Cross multiply
    259.78x = 432.94 × 432.94
  4. Step 4: Simplify right side
    259.78x = 187,434.88
  5. Step 5: Solve for x
    x = 187,434.88/259.78
  6. Step 6: Final answer
    x = 721.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.