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Finding the Third Proportional to 137,536.31 and 210,391.59

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Solution

The third proportional to 137,536.31 and 210,391.59 is: 321,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,536.31 : 210,391.59 = 210,391.59 : x
  2. Step 2: Convert to fraction form
    137,536.31/210,391.59 = 210,391.59/x
  3. Step 3: Cross multiply
    137,536.31x = 210,391.59 × 210,391.59
  4. Step 4: Simplify right side
    137,536.31x = 44,264,622,720.67
  5. Step 5: Solve for x
    x = 44,264,622,720.67/137,536.31
  6. Step 6: Final answer
    x = 321,839.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.