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Finding the Third Proportional to 643,845 and 996,483.75

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Solution

The third proportional to 643,845 and 996,483.75 is: 1,542,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,845 : 996,483.75 = 996,483.75 : x
  2. Step 2: Convert to fraction form
    643,845/996,483.75 = 996,483.75/x
  3. Step 3: Cross multiply
    643,845x = 996,483.75 × 996,483.75
  4. Step 4: Simplify right side
    643,845x = 992,979,864,014.06
  5. Step 5: Solve for x
    x = 992,979,864,014.06/643,845
  6. Step 6: Final answer
    x = 1,542,265.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.