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Finding the Third Proportional to 138,913 and 207,454

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Solution

The third proportional to 138,913 and 207,454 is: 309,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,913 : 207,454 = 207,454 : x
  2. Step 2: Convert to fraction form
    138,913/207,454 = 207,454/x
  3. Step 3: Cross multiply
    138,913x = 207,454 × 207,454
  4. Step 4: Simplify right side
    138,913x = 43,037,162,116
  5. Step 5: Solve for x
    x = 43,037,162,116/138,913
  6. Step 6: Final answer
    x = 309,813.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.