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Finding the Third Proportional to 15,405 and 22,557

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Solution

The third proportional to 15,405 and 22,557 is: 33,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405 : 22,557 = 22,557 : x
  2. Step 2: Convert to fraction form
    15,405/22,557 = 22,557/x
  3. Step 3: Cross multiply
    15,405x = 22,557 × 22,557
  4. Step 4: Simplify right side
    15,405x = 508,818,249
  5. Step 5: Solve for x
    x = 508,818,249/15,405
  6. Step 6: Final answer
    x = 33,029.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.