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Finding the Third Proportional to 402,043.50 and 621,958.50

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Solution

The third proportional to 402,043.50 and 621,958.50 is: 962,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,043.50 : 621,958.50 = 621,958.50 : x
  2. Step 2: Convert to fraction form
    402,043.50/621,958.50 = 621,958.50/x
  3. Step 3: Cross multiply
    402,043.50x = 621,958.50 × 621,958.50
  4. Step 4: Simplify right side
    402,043.50x = 386,832,375,722.25
  5. Step 5: Solve for x
    x = 386,832,375,722.25/402,043.50
  6. Step 6: Final answer
    x = 962,165.48

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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.