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Finding the Third Proportional to 53,222 and 81,830

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Solution

The third proportional to 53,222 and 81,830 is: 125,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,222 : 81,830 = 81,830 : x
  2. Step 2: Convert to fraction form
    53,222/81,830 = 81,830/x
  3. Step 3: Cross multiply
    53,222x = 81,830 × 81,830
  4. Step 4: Simplify right side
    53,222x = 6,696,148,900
  5. Step 5: Solve for x
    x = 6,696,148,900/53,222
  6. Step 6: Final answer
    x = 125,815.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.