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Finding the Third Proportional to 138,280 and 296,208

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Solution

The third proportional to 138,280 and 296,208 is: 634,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,280 : 296,208 = 296,208 : x
  2. Step 2: Convert to fraction form
    138,280/296,208 = 296,208/x
  3. Step 3: Cross multiply
    138,280x = 296,208 × 296,208
  4. Step 4: Simplify right side
    138,280x = 87,739,179,264
  5. Step 5: Solve for x
    x = 87,739,179,264/138,280
  6. Step 6: Final answer
    x = 634,503.76

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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.