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Finding the Third Proportional to 448,139.25 and 980,194.50

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Solution

The third proportional to 448,139.25 and 980,194.50 is: 2,143,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,139.25 : 980,194.50 = 980,194.50 : x
  2. Step 2: Convert to fraction form
    448,139.25/980,194.50 = 980,194.50/x
  3. Step 3: Cross multiply
    448,139.25x = 980,194.50 × 980,194.50
  4. Step 4: Simplify right side
    448,139.25x = 960,781,257,830.25
  5. Step 5: Solve for x
    x = 960,781,257,830.25/448,139.25
  6. Step 6: Final answer
    x = 2,143,934.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.