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Finding the Third Proportional to 221,432 and 343,815

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Solution

The third proportional to 221,432 and 343,815 is: 533,837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,432 : 343,815 = 343,815 : x
  2. Step 2: Convert to fraction form
    221,432/343,815 = 343,815/x
  3. Step 3: Cross multiply
    221,432x = 343,815 × 343,815
  4. Step 4: Simplify right side
    221,432x = 118,208,754,225
  5. Step 5: Solve for x
    x = 118,208,754,225/221,432
  6. Step 6: Final answer
    x = 533,837.72

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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.