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Finding the Third Proportional to 3,213,371.25 and 4,978,766.25

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Solution

The third proportional to 3,213,371.25 and 4,978,766.25 is: 7,714,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,371.25 : 4,978,766.25 = 4,978,766.25 : x
  2. Step 2: Convert to fraction form
    3,213,371.25/4,978,766.25 = 4,978,766.25/x
  3. Step 3: Cross multiply
    3,213,371.25x = 4,978,766.25 × 4,978,766.25
  4. Step 4: Simplify right side
    3,213,371.25x = 24,788,113,372,139.06
  5. Step 5: Solve for x
    x = 24,788,113,372,139.06/3,213,371.25
  6. Step 6: Final answer
    x = 7,714,052.14

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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.