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Finding the Third Proportional to 53,485 and 82,534

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Solution

The third proportional to 53,485 and 82,534 is: 127,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,485 : 82,534 = 82,534 : x
  2. Step 2: Convert to fraction form
    53,485/82,534 = 82,534/x
  3. Step 3: Cross multiply
    53,485x = 82,534 × 82,534
  4. Step 4: Simplify right side
    53,485x = 6,811,861,156
  5. Step 5: Solve for x
    x = 6,811,861,156/53,485
  6. Step 6: Final answer
    x = 127,360.22

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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.