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Finding the Third Proportional to 53,020 and 81,228

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Solution

The third proportional to 53,020 and 81,228 is: 124,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,020 : 81,228 = 81,228 : x
  2. Step 2: Convert to fraction form
    53,020/81,228 = 81,228/x
  3. Step 3: Cross multiply
    53,020x = 81,228 × 81,228
  4. Step 4: Simplify right side
    53,020x = 6,597,987,984
  5. Step 5: Solve for x
    x = 6,597,987,984/53,020
  6. Step 6: Final answer
    x = 124,443.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.