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Finding the Third Proportional to 12,357 and 19,138.50

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Solution

The third proportional to 12,357 and 19,138.50 is: 29,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357 : 19,138.50 = 19,138.50 : x
  2. Step 2: Convert to fraction form
    12,357/19,138.50 = 19,138.50/x
  3. Step 3: Cross multiply
    12,357x = 19,138.50 × 19,138.50
  4. Step 4: Simplify right side
    12,357x = 366,282,182.25
  5. Step 5: Solve for x
    x = 366,282,182.25/12,357
  6. Step 6: Final answer
    x = 29,641.68

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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.