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Finding the Third Proportional to 448,764 and 620,200.50

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Solution

The third proportional to 448,764 and 620,200.50 is: 857,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,764 : 620,200.50 = 620,200.50 : x
  2. Step 2: Convert to fraction form
    448,764/620,200.50 = 620,200.50/x
  3. Step 3: Cross multiply
    448,764x = 620,200.50 × 620,200.50
  4. Step 4: Simplify right side
    448,764x = 384,648,660,200.25
  5. Step 5: Solve for x
    x = 384,648,660,200.25/448,764
  6. Step 6: Final answer
    x = 857,129.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.