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Finding the Third Proportional to 130,988 and 200,242

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Solution

The third proportional to 130,988 and 200,242 is: 306,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,988 : 200,242 = 200,242 : x
  2. Step 2: Convert to fraction form
    130,988/200,242 = 200,242/x
  3. Step 3: Cross multiply
    130,988x = 200,242 × 200,242
  4. Step 4: Simplify right side
    130,988x = 40,096,858,564
  5. Step 5: Solve for x
    x = 40,096,858,564/130,988
  6. Step 6: Final answer
    x = 306,110.93

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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.