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Finding the Third Proportional to 130,918.78 and 200,185.17

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Solution

The third proportional to 130,918.78 and 200,185.17 is: 306,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,918.78 : 200,185.17 = 200,185.17 : x
  2. Step 2: Convert to fraction form
    130,918.78/200,185.17 = 200,185.17/x
  3. Step 3: Cross multiply
    130,918.78x = 200,185.17 × 200,185.17
  4. Step 4: Simplify right side
    130,918.78x = 40,074,103,038.62
  5. Step 5: Solve for x
    x = 40,074,103,038.62/130,918.78
  6. Step 6: Final answer
    x = 306,098.96

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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.