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Finding the Third Proportional to 53,965 and 84,479

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Solution

The third proportional to 53,965 and 84,479 is: 132,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,965 : 84,479 = 84,479 : x
  2. Step 2: Convert to fraction form
    53,965/84,479 = 84,479/x
  3. Step 3: Cross multiply
    53,965x = 84,479 × 84,479
  4. Step 4: Simplify right side
    53,965x = 7,136,701,441
  5. Step 5: Solve for x
    x = 7,136,701,441/53,965
  6. Step 6: Final answer
    x = 132,246.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.