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Finding the Third Proportional to 111,709.69 and 239,409.56

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Solution

The third proportional to 111,709.69 and 239,409.56 is: 513,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,709.69 : 239,409.56 = 239,409.56 : x
  2. Step 2: Convert to fraction form
    111,709.69/239,409.56 = 239,409.56/x
  3. Step 3: Cross multiply
    111,709.69x = 239,409.56 × 239,409.56
  4. Step 4: Simplify right side
    111,709.69x = 57,316,938,616.44
  5. Step 5: Solve for x
    x = 57,316,938,616.44/111,709.69
  6. Step 6: Final answer
    x = 513,088.34

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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.