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Finding the Third Proportional to 139,139.44 and 297,956.81

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Solution

The third proportional to 139,139.44 and 297,956.81 is: 638,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,139.44 : 297,956.81 = 297,956.81 : x
  2. Step 2: Convert to fraction form
    139,139.44/297,956.81 = 297,956.81/x
  3. Step 3: Cross multiply
    139,139.44x = 297,956.81 × 297,956.81
  4. Step 4: Simplify right side
    139,139.44x = 88,778,262,115.16
  5. Step 5: Solve for x
    x = 88,778,262,115.16/139,139.44
  6. Step 6: Final answer
    x = 638,052.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.