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Finding the Third Proportional to 668,454.75 and 1,443,431.25

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Solution

The third proportional to 668,454.75 and 1,443,431.25 is: 3,116,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,454.75 : 1,443,431.25 = 1,443,431.25 : x
  2. Step 2: Convert to fraction form
    668,454.75/1,443,431.25 = 1,443,431.25/x
  3. Step 3: Cross multiply
    668,454.75x = 1,443,431.25 × 1,443,431.25
  4. Step 4: Simplify right side
    668,454.75x = 2,083,493,773,476.56
  5. Step 5: Solve for x
    x = 2,083,493,773,476.56/668,454.75
  6. Step 6: Final answer
    x = 3,116,880.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.