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Finding the Third Proportional to 138,271.50 and 296,127

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Solution

The third proportional to 138,271.50 and 296,127 is: 634,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,271.50 : 296,127 = 296,127 : x
  2. Step 2: Convert to fraction form
    138,271.50/296,127 = 296,127/x
  3. Step 3: Cross multiply
    138,271.50x = 296,127 × 296,127
  4. Step 4: Simplify right side
    138,271.50x = 87,691,200,129
  5. Step 5: Solve for x
    x = 87,691,200,129/138,271.50
  6. Step 6: Final answer
    x = 634,195.77

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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.