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Finding the Third Proportional to 512.50 and 695.75

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Solution

The third proportional to 512.50 and 695.75 is: 944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.50 : 695.75 = 695.75 : x
  2. Step 2: Convert to fraction form
    512.50/695.75 = 695.75/x
  3. Step 3: Cross multiply
    512.50x = 695.75 × 695.75
  4. Step 4: Simplify right side
    512.50x = 484,068.06
  5. Step 5: Solve for x
    x = 484,068.06/512.50
  6. Step 6: Final answer
    x = 944.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.