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Finding the Third Proportional to 129,022.88 and 196,916.06

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Solution

The third proportional to 129,022.88 and 196,916.06 is: 300,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,022.88 : 196,916.06 = 196,916.06 : x
  2. Step 2: Convert to fraction form
    129,022.88/196,916.06 = 196,916.06/x
  3. Step 3: Cross multiply
    129,022.88x = 196,916.06 × 196,916.06
  4. Step 4: Simplify right side
    129,022.88x = 38,775,935,670.50
  5. Step 5: Solve for x
    x = 38,775,935,670.50/129,022.88
  6. Step 6: Final answer
    x = 300,535.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.