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Finding the Third Proportional to 287,224 and 613,543

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Solution

The third proportional to 287,224 and 613,543 is: 1,310,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,224 : 613,543 = 613,543 : x
  2. Step 2: Convert to fraction form
    287,224/613,543 = 613,543/x
  3. Step 3: Cross multiply
    287,224x = 613,543 × 613,543
  4. Step 4: Simplify right side
    287,224x = 376,435,012,849
  5. Step 5: Solve for x
    x = 376,435,012,849/287,224
  6. Step 6: Final answer
    x = 1,310,597.35

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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.