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Finding the Third Proportional to 15,178 and 21,498

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Solution

The third proportional to 15,178 and 21,498 is: 30,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178 : 21,498 = 21,498 : x
  2. Step 2: Convert to fraction form
    15,178/21,498 = 21,498/x
  3. Step 3: Cross multiply
    15,178x = 21,498 × 21,498
  4. Step 4: Simplify right side
    15,178x = 462,164,004
  5. Step 5: Solve for x
    x = 462,164,004/15,178
  6. Step 6: Final answer
    x = 30,449.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.