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Finding the Third Proportional to 53,149 and 72,213

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Solution

The third proportional to 53,149 and 72,213 is: 98,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,149 : 72,213 = 72,213 : x
  2. Step 2: Convert to fraction form
    53,149/72,213 = 72,213/x
  3. Step 3: Cross multiply
    53,149x = 72,213 × 72,213
  4. Step 4: Simplify right side
    53,149x = 5,214,717,369
  5. Step 5: Solve for x
    x = 5,214,717,369/53,149
  6. Step 6: Final answer
    x = 98,115.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.