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Finding the Third Proportional to 647.26 and 761.17

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Solution

The third proportional to 647.26 and 761.17 is: 895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.26 : 761.17 = 761.17 : x
  2. Step 2: Convert to fraction form
    647.26/761.17 = 761.17/x
  3. Step 3: Cross multiply
    647.26x = 761.17 × 761.17
  4. Step 4: Simplify right side
    647.26x = 579,376.68
  5. Step 5: Solve for x
    x = 579,376.68/647.26
  6. Step 6: Final answer
    x = 895.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.