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Finding the Third Proportional to 137,938.50 and 297,644.63

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Solution

The third proportional to 137,938.50 and 297,644.63 is: 642,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,938.50 : 297,644.63 = 297,644.63 : x
  2. Step 2: Convert to fraction form
    137,938.50/297,644.63 = 297,644.63/x
  3. Step 3: Cross multiply
    137,938.50x = 297,644.63 × 297,644.63
  4. Step 4: Simplify right side
    137,938.50x = 88,592,322,791.39
  5. Step 5: Solve for x
    x = 88,592,322,791.39/137,938.50
  6. Step 6: Final answer
    x = 642,259.58

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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.