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Finding the Third Proportional to 140,749 and 207,399

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Solution

The third proportional to 140,749 and 207,399 is: 305,610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,749 : 207,399 = 207,399 : x
  2. Step 2: Convert to fraction form
    140,749/207,399 = 207,399/x
  3. Step 3: Cross multiply
    140,749x = 207,399 × 207,399
  4. Step 4: Simplify right side
    140,749x = 43,014,345,201
  5. Step 5: Solve for x
    x = 43,014,345,201/140,749
  6. Step 6: Final answer
    x = 305,610.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.