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Finding the Third Proportional to 442,750.50 and 621,276.75

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Solution

The third proportional to 442,750.50 and 621,276.75 is: 871,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,750.50 : 621,276.75 = 621,276.75 : x
  2. Step 2: Convert to fraction form
    442,750.50/621,276.75 = 621,276.75/x
  3. Step 3: Cross multiply
    442,750.50x = 621,276.75 × 621,276.75
  4. Step 4: Simplify right side
    442,750.50x = 385,984,800,090.56
  5. Step 5: Solve for x
    x = 385,984,800,090.56/442,750.50
  6. Step 6: Final answer
    x = 871,788.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.