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Finding the Third Proportional to 138,773 and 207,600

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Solution

The third proportional to 138,773 and 207,600 is: 310,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,773 : 207,600 = 207,600 : x
  2. Step 2: Convert to fraction form
    138,773/207,600 = 207,600/x
  3. Step 3: Cross multiply
    138,773x = 207,600 × 207,600
  4. Step 4: Simplify right side
    138,773x = 43,097,760,000
  5. Step 5: Solve for x
    x = 43,097,760,000/138,773
  6. Step 6: Final answer
    x = 310,563.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.