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Finding the Third Proportional to 15,382 and 19,655

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Solution

The third proportional to 15,382 and 19,655 is: 25,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382 : 19,655 = 19,655 : x
  2. Step 2: Convert to fraction form
    15,382/19,655 = 19,655/x
  3. Step 3: Cross multiply
    15,382x = 19,655 × 19,655
  4. Step 4: Simplify right side
    15,382x = 386,319,025
  5. Step 5: Solve for x
    x = 386,319,025/15,382
  6. Step 6: Final answer
    x = 25,115.01

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.