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Finding the Third Proportional to 140,172.75 and 209,678.63

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Solution

The third proportional to 140,172.75 and 209,678.63 is: 313,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,172.75 : 209,678.63 = 209,678.63 : x
  2. Step 2: Convert to fraction form
    140,172.75/209,678.63 = 209,678.63/x
  3. Step 3: Cross multiply
    140,172.75x = 209,678.63 × 209,678.63
  4. Step 4: Simplify right side
    140,172.75x = 43,965,125,781.89
  5. Step 5: Solve for x
    x = 43,965,125,781.89/140,172.75
  6. Step 6: Final answer
    x = 313,649.59

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Why These Related Problems?

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