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Finding the Third Proportional to 316,604.25 and 677,495.25

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Solution

The third proportional to 316,604.25 and 677,495.25 is: 1,449,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,604.25 : 677,495.25 = 677,495.25 : x
  2. Step 2: Convert to fraction form
    316,604.25/677,495.25 = 677,495.25/x
  3. Step 3: Cross multiply
    316,604.25x = 677,495.25 × 677,495.25
  4. Step 4: Simplify right side
    316,604.25x = 458,999,813,772.56
  5. Step 5: Solve for x
    x = 458,999,813,772.56/316,604.25
  6. Step 6: Final answer
    x = 1,449,758.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.