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Finding the Third Proportional to 140,902 and 312,189

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Solution

The third proportional to 140,902 and 312,189 is: 691,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,902 : 312,189 = 312,189 : x
  2. Step 2: Convert to fraction form
    140,902/312,189 = 312,189/x
  3. Step 3: Cross multiply
    140,902x = 312,189 × 312,189
  4. Step 4: Simplify right side
    140,902x = 97,461,971,721
  5. Step 5: Solve for x
    x = 97,461,971,721/140,902
  6. Step 6: Final answer
    x = 691,700.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.