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Finding the Third Proportional to 140,500.50 and 210,755.25

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Solution

The third proportional to 140,500.50 and 210,755.25 is: 316,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,500.50 : 210,755.25 = 210,755.25 : x
  2. Step 2: Convert to fraction form
    140,500.50/210,755.25 = 210,755.25/x
  3. Step 3: Cross multiply
    140,500.50x = 210,755.25 × 210,755.25
  4. Step 4: Simplify right side
    140,500.50x = 44,417,775,402.56
  5. Step 5: Solve for x
    x = 44,417,775,402.56/140,500.50
  6. Step 6: Final answer
    x = 316,139.63

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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.