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Finding the Third Proportional to 408,901.50 and 627,628.50

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Solution

The third proportional to 408,901.50 and 627,628.50 is: 963,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,901.50 : 627,628.50 = 627,628.50 : x
  2. Step 2: Convert to fraction form
    408,901.50/627,628.50 = 627,628.50/x
  3. Step 3: Cross multiply
    408,901.50x = 627,628.50 × 627,628.50
  4. Step 4: Simplify right side
    408,901.50x = 393,917,534,012.25
  5. Step 5: Solve for x
    x = 393,917,534,012.25/408,901.50
  6. Step 6: Final answer
    x = 963,355.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.