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Finding the Third Proportional to 34,574 and 53,481

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Solution

The third proportional to 34,574 and 53,481 is: 82,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,574 : 53,481 = 53,481 : x
  2. Step 2: Convert to fraction form
    34,574/53,481 = 53,481/x
  3. Step 3: Cross multiply
    34,574x = 53,481 × 53,481
  4. Step 4: Simplify right side
    34,574x = 2,860,217,361
  5. Step 5: Solve for x
    x = 2,860,217,361/34,574
  6. Step 6: Final answer
    x = 82,727.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.