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Finding the Third Proportional to 145,614 and 218,205

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Solution

The third proportional to 145,614 and 218,205 is: 326,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,614 : 218,205 = 218,205 : x
  2. Step 2: Convert to fraction form
    145,614/218,205 = 218,205/x
  3. Step 3: Cross multiply
    145,614x = 218,205 × 218,205
  4. Step 4: Simplify right side
    145,614x = 47,613,422,025
  5. Step 5: Solve for x
    x = 47,613,422,025/145,614
  6. Step 6: Final answer
    x = 326,983.82

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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.