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Finding the Third Proportional to 200,880 and 294,132

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Solution

The third proportional to 200,880 and 294,132 is: 430,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,880 : 294,132 = 294,132 : x
  2. Step 2: Convert to fraction form
    200,880/294,132 = 294,132/x
  3. Step 3: Cross multiply
    200,880x = 294,132 × 294,132
  4. Step 4: Simplify right side
    200,880x = 86,513,633,424
  5. Step 5: Solve for x
    x = 86,513,633,424/200,880
  6. Step 6: Final answer
    x = 430,673.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.