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Finding the Third Proportional to 286.98 and 432.53

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Solution

The third proportional to 286.98 and 432.53 is: 651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.98 : 432.53 = 432.53 : x
  2. Step 2: Convert to fraction form
    286.98/432.53 = 432.53/x
  3. Step 3: Cross multiply
    286.98x = 432.53 × 432.53
  4. Step 4: Simplify right side
    286.98x = 187,079.90
  5. Step 5: Solve for x
    x = 187,079.90/286.98
  6. Step 6: Final answer
    x = 651.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.