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Finding the Third Proportional to 53,208 and 81,222

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Solution

The third proportional to 53,208 and 81,222 is: 123,985.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,208 : 81,222 = 81,222 : x
  2. Step 2: Convert to fraction form
    53,208/81,222 = 81,222/x
  3. Step 3: Cross multiply
    53,208x = 81,222 × 81,222
  4. Step 4: Simplify right side
    53,208x = 6,597,013,284
  5. Step 5: Solve for x
    x = 6,597,013,284/53,208
  6. Step 6: Final answer
    x = 123,985.36

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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.