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Finding the Third Proportional to 140,729.06 and 210,391.59

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Solution

The third proportional to 140,729.06 and 210,391.59 is: 314,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,729.06 : 210,391.59 = 210,391.59 : x
  2. Step 2: Convert to fraction form
    140,729.06/210,391.59 = 210,391.59/x
  3. Step 3: Cross multiply
    140,729.06x = 210,391.59 × 210,391.59
  4. Step 4: Simplify right side
    140,729.06x = 44,264,622,720.67
  5. Step 5: Solve for x
    x = 44,264,622,720.67/140,729.06
  6. Step 6: Final answer
    x = 314,537.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.