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Finding the Third Proportional to 140,821.88 and 212,430.38

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Solution

The third proportional to 140,821.88 and 212,430.38 is: 320,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,821.88 : 212,430.38 = 212,430.38 : x
  2. Step 2: Convert to fraction form
    140,821.88/212,430.38 = 212,430.38/x
  3. Step 3: Cross multiply
    140,821.88x = 212,430.38 × 212,430.38
  4. Step 4: Simplify right side
    140,821.88x = 45,126,664,222.64
  5. Step 5: Solve for x
    x = 45,126,664,222.64/140,821.88
  6. Step 6: Final answer
    x = 320,452.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.