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Finding the Third Proportional to 221,432 and 343,816

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Solution

The third proportional to 221,432 and 343,816 is: 533,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,432 : 343,816 = 343,816 : x
  2. Step 2: Convert to fraction form
    221,432/343,816 = 343,816/x
  3. Step 3: Cross multiply
    221,432x = 343,816 × 343,816
  4. Step 4: Simplify right side
    221,432x = 118,209,441,856
  5. Step 5: Solve for x
    x = 118,209,441,856/221,432
  6. Step 6: Final answer
    x = 533,840.83

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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.