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Finding the Third Proportional to 643,073.63 and 945,367.88

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Solution

The third proportional to 643,073.63 and 945,367.88 is: 1,389,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,073.63 : 945,367.88 = 945,367.88 : x
  2. Step 2: Convert to fraction form
    643,073.63/945,367.88 = 945,367.88/x
  3. Step 3: Cross multiply
    643,073.63x = 945,367.88 × 945,367.88
  4. Step 4: Simplify right side
    643,073.63x = 893,720,419,082.02
  5. Step 5: Solve for x
    x = 893,720,419,082.02/643,073.63
  6. Step 6: Final answer
    x = 1,389,763.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.