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Finding the Third Proportional to 140,914 and 312,210

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Solution

The third proportional to 140,914 and 312,210 is: 691,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914 : 312,210 = 312,210 : x
  2. Step 2: Convert to fraction form
    140,914/312,210 = 312,210/x
  3. Step 3: Cross multiply
    140,914x = 312,210 × 312,210
  4. Step 4: Simplify right side
    140,914x = 97,475,084,100
  5. Step 5: Solve for x
    x = 97,475,084,100/140,914
  6. Step 6: Final answer
    x = 691,734.56

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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.