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Finding the Third Proportional to 119,278.35 and 257,238.76

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Solution

The third proportional to 119,278.35 and 257,238.76 is: 554,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,278.35 : 257,238.76 = 257,238.76 : x
  2. Step 2: Convert to fraction form
    119,278.35/257,238.76 = 257,238.76/x
  3. Step 3: Cross multiply
    119,278.35x = 257,238.76 × 257,238.76
  4. Step 4: Simplify right side
    119,278.35x = 66,171,777,516.08
  5. Step 5: Solve for x
    x = 66,171,777,516.08/119,278.35
  6. Step 6: Final answer
    x = 554,767.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.