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Finding the Third Proportional to 145,515 and 218,814

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Solution

The third proportional to 145,515 and 218,814 is: 329,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,515 : 218,814 = 218,814 : x
  2. Step 2: Convert to fraction form
    145,515/218,814 = 218,814/x
  3. Step 3: Cross multiply
    145,515x = 218,814 × 218,814
  4. Step 4: Simplify right side
    145,515x = 47,879,566,596
  5. Step 5: Solve for x
    x = 47,879,566,596/145,515
  6. Step 6: Final answer
    x = 329,035.27

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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.