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Finding the Third Proportional to 140,769 and 207,420

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Solution

The third proportional to 140,769 and 207,420 is: 305,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,769 : 207,420 = 207,420 : x
  2. Step 2: Convert to fraction form
    140,769/207,420 = 207,420/x
  3. Step 3: Cross multiply
    140,769x = 207,420 × 207,420
  4. Step 4: Simplify right side
    140,769x = 43,023,056,400
  5. Step 5: Solve for x
    x = 43,023,056,400/140,769
  6. Step 6: Final answer
    x = 305,628.77

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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.