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Finding the Third Proportional to 139,400.50 and 296,782.75

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Solution

The third proportional to 139,400.50 and 296,782.75 is: 631,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,400.50 : 296,782.75 = 296,782.75 : x
  2. Step 2: Convert to fraction form
    139,400.50/296,782.75 = 296,782.75/x
  3. Step 3: Cross multiply
    139,400.50x = 296,782.75 × 296,782.75
  4. Step 4: Simplify right side
    139,400.50x = 88,080,000,697.56
  5. Step 5: Solve for x
    x = 88,080,000,697.56/139,400.50
  6. Step 6: Final answer
    x = 631,848.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.