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Finding the Third Proportional to 128,792 and 287,716

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Solution

The third proportional to 128,792 and 287,716 is: 642,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,792 : 287,716 = 287,716 : x
  2. Step 2: Convert to fraction form
    128,792/287,716 = 287,716/x
  3. Step 3: Cross multiply
    128,792x = 287,716 × 287,716
  4. Step 4: Simplify right side
    128,792x = 82,780,496,656
  5. Step 5: Solve for x
    x = 82,780,496,656/128,792
  6. Step 6: Final answer
    x = 642,745.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.