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Finding the Third Proportional to 12,557 and 19,455

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Solution

The third proportional to 12,557 and 19,455 is: 30,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557 : 19,455 = 19,455 : x
  2. Step 2: Convert to fraction form
    12,557/19,455 = 19,455/x
  3. Step 3: Cross multiply
    12,557x = 19,455 × 19,455
  4. Step 4: Simplify right side
    12,557x = 378,497,025
  5. Step 5: Solve for x
    x = 378,497,025/12,557
  6. Step 6: Final answer
    x = 30,142.31

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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.