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Finding the Third Proportional to 287.98 and 432.26

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Solution

The third proportional to 287.98 and 432.26 is: 648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.98 : 432.26 = 432.26 : x
  2. Step 2: Convert to fraction form
    287.98/432.26 = 432.26/x
  3. Step 3: Cross multiply
    287.98x = 432.26 × 432.26
  4. Step 4: Simplify right side
    287.98x = 186,851.88
  5. Step 5: Solve for x
    x = 186,851.88/287.98
  6. Step 6: Final answer
    x = 648.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.