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Finding the Third Proportional to 188,822.25 and 409,639.50

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Solution

The third proportional to 188,822.25 and 409,639.50 is: 888,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,822.25 : 409,639.50 = 409,639.50 : x
  2. Step 2: Convert to fraction form
    188,822.25/409,639.50 = 409,639.50/x
  3. Step 3: Cross multiply
    188,822.25x = 409,639.50 × 409,639.50
  4. Step 4: Simplify right side
    188,822.25x = 167,804,519,960.25
  5. Step 5: Solve for x
    x = 167,804,519,960.25/188,822.25
  6. Step 6: Final answer
    x = 888,690.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.