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Finding the Third Proportional to 512.63 and 689.81

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Solution

The third proportional to 512.63 and 689.81 is: 928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.63 : 689.81 = 689.81 : x
  2. Step 2: Convert to fraction form
    512.63/689.81 = 689.81/x
  3. Step 3: Cross multiply
    512.63x = 689.81 × 689.81
  4. Step 4: Simplify right side
    512.63x = 475,841.29
  5. Step 5: Solve for x
    x = 475,841.29/512.63
  6. Step 6: Final answer
    x = 928.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.