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Finding the Third Proportional to 219,012 and 287,574

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Solution

The third proportional to 219,012 and 287,574 is: 377,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,012 : 287,574 = 287,574 : x
  2. Step 2: Convert to fraction form
    219,012/287,574 = 287,574/x
  3. Step 3: Cross multiply
    219,012x = 287,574 × 287,574
  4. Step 4: Simplify right side
    219,012x = 82,698,805,476
  5. Step 5: Solve for x
    x = 82,698,805,476/219,012
  6. Step 6: Final answer
    x = 377,599.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.