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Finding the Third Proportional to 138,830.25 and 297,344.25

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Solution

The third proportional to 138,830.25 and 297,344.25 is: 636,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,830.25 : 297,344.25 = 297,344.25 : x
  2. Step 2: Convert to fraction form
    138,830.25/297,344.25 = 297,344.25/x
  3. Step 3: Cross multiply
    138,830.25x = 297,344.25 × 297,344.25
  4. Step 4: Simplify right side
    138,830.25x = 88,413,603,008.06
  5. Step 5: Solve for x
    x = 88,413,603,008.06/138,830.25
  6. Step 6: Final answer
    x = 636,846.82

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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.