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Finding the Third Proportional to 69,027.19 and 136,345.78

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Solution

The third proportional to 69,027.19 and 136,345.78 is: 269,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,027.19 : 136,345.78 = 136,345.78 : x
  2. Step 2: Convert to fraction form
    69,027.19/136,345.78 = 136,345.78/x
  3. Step 3: Cross multiply
    69,027.19x = 136,345.78 × 136,345.78
  4. Step 4: Simplify right side
    69,027.19x = 18,590,172,064.67
  5. Step 5: Solve for x
    x = 18,590,172,064.67/69,027.19
  6. Step 6: Final answer
    x = 269,316.67

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.