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Finding the Third Proportional to 138,258 and 296,100

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Solution

The third proportional to 138,258 and 296,100 is: 634,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,258 : 296,100 = 296,100 : x
  2. Step 2: Convert to fraction form
    138,258/296,100 = 296,100/x
  3. Step 3: Cross multiply
    138,258x = 296,100 × 296,100
  4. Step 4: Simplify right side
    138,258x = 87,675,210,000
  5. Step 5: Solve for x
    x = 87,675,210,000/138,258
  6. Step 6: Final answer
    x = 634,142.04

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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.