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Finding the Third Proportional to 643,729.50 and 973,877.25

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Solution

The third proportional to 643,729.50 and 973,877.25 is: 1,473,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,729.50 : 973,877.25 = 973,877.25 : x
  2. Step 2: Convert to fraction form
    643,729.50/973,877.25 = 973,877.25/x
  3. Step 3: Cross multiply
    643,729.50x = 973,877.25 × 973,877.25
  4. Step 4: Simplify right side
    643,729.50x = 948,436,898,067.56
  5. Step 5: Solve for x
    x = 948,436,898,067.56/643,729.50
  6. Step 6: Final answer
    x = 1,473,346.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.