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Finding the Third Proportional to 140,994 and 218,187

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Solution

The third proportional to 140,994 and 218,187 is: 337,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,994 : 218,187 = 218,187 : x
  2. Step 2: Convert to fraction form
    140,994/218,187 = 218,187/x
  3. Step 3: Cross multiply
    140,994x = 218,187 × 218,187
  4. Step 4: Simplify right side
    140,994x = 47,605,566,969
  5. Step 5: Solve for x
    x = 47,605,566,969/140,994
  6. Step 6: Final answer
    x = 337,642.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.