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Finding the Third Proportional to 138,756.75 and 297,197.25

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Solution

The third proportional to 138,756.75 and 297,197.25 is: 636,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,756.75 : 297,197.25 = 297,197.25 : x
  2. Step 2: Convert to fraction form
    138,756.75/297,197.25 = 297,197.25/x
  3. Step 3: Cross multiply
    138,756.75x = 297,197.25 × 297,197.25
  4. Step 4: Simplify right side
    138,756.75x = 88,326,205,407.56
  5. Step 5: Solve for x
    x = 88,326,205,407.56/138,756.75
  6. Step 6: Final answer
    x = 636,554.30

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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.