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Finding the Third Proportional to 287,223 and 613,542

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Solution

The third proportional to 287,223 and 613,542 is: 1,310,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,223 : 613,542 = 613,542 : x
  2. Step 2: Convert to fraction form
    287,223/613,542 = 613,542/x
  3. Step 3: Cross multiply
    287,223x = 613,542 × 613,542
  4. Step 4: Simplify right side
    287,223x = 376,433,785,764
  5. Step 5: Solve for x
    x = 376,433,785,764/287,223
  6. Step 6: Final answer
    x = 1,310,597.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.