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Finding the Third Proportional to 616,951.69 and 665,232.75

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Solution

The third proportional to 616,951.69 and 665,232.75 is: 717,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,951.69 : 665,232.75 = 665,232.75 : x
  2. Step 2: Convert to fraction form
    616,951.69/665,232.75 = 665,232.75/x
  3. Step 3: Cross multiply
    616,951.69x = 665,232.75 × 665,232.75
  4. Step 4: Simplify right side
    616,951.69x = 442,534,611,672.56
  5. Step 5: Solve for x
    x = 442,534,611,672.56/616,951.69
  6. Step 6: Final answer
    x = 717,292.17

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.