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Finding the Third Proportional to 529.66 and 1,288.09

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Solution

The third proportional to 529.66 and 1,288.09 is: 3,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.66 : 1,288.09 = 1,288.09 : x
  2. Step 2: Convert to fraction form
    529.66/1,288.09 = 1,288.09/x
  3. Step 3: Cross multiply
    529.66x = 1,288.09 × 1,288.09
  4. Step 4: Simplify right side
    529.66x = 1,659,175.45
  5. Step 5: Solve for x
    x = 1,659,175.45/529.66
  6. Step 6: Final answer
    x = 3,132.51

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.