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Finding the Third Proportional to 445,629 and 668,335.50

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Solution

The third proportional to 445,629 and 668,335.50 is: 1,002,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,629 : 668,335.50 = 668,335.50 : x
  2. Step 2: Convert to fraction form
    445,629/668,335.50 = 668,335.50/x
  3. Step 3: Cross multiply
    445,629x = 668,335.50 × 668,335.50
  4. Step 4: Simplify right side
    445,629x = 446,672,340,560.25
  5. Step 5: Solve for x
    x = 446,672,340,560.25/445,629
  6. Step 6: Final answer
    x = 1,002,341.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.