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Finding the Third Proportional to 300,193.17 and 643,289.13

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Solution

The third proportional to 300,193.17 and 643,289.13 is: 1,378,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,193.17 : 643,289.13 = 643,289.13 : x
  2. Step 2: Convert to fraction form
    300,193.17/643,289.13 = 643,289.13/x
  3. Step 3: Cross multiply
    300,193.17x = 643,289.13 × 643,289.13
  4. Step 4: Simplify right side
    300,193.17x = 413,820,908,394.66
  5. Step 5: Solve for x
    x = 413,820,908,394.66/300,193.17
  6. Step 6: Final answer
    x = 1,378,515.39

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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.