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Finding the Third Proportional to 53,215 and 80,213

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Solution

The third proportional to 53,215 and 80,213 is: 120,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,215 : 80,213 = 80,213 : x
  2. Step 2: Convert to fraction form
    53,215/80,213 = 80,213/x
  3. Step 3: Cross multiply
    53,215x = 80,213 × 80,213
  4. Step 4: Simplify right side
    53,215x = 6,434,125,369
  5. Step 5: Solve for x
    x = 6,434,125,369/53,215
  6. Step 6: Final answer
    x = 120,908.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.