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Finding the Third Proportional to 12,435.75 and 19,284.19

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Solution

The third proportional to 12,435.75 and 19,284.19 is: 29,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.75 : 19,284.19 = 19,284.19 : x
  2. Step 2: Convert to fraction form
    12,435.75/19,284.19 = 19,284.19/x
  3. Step 3: Cross multiply
    12,435.75x = 19,284.19 × 19,284.19
  4. Step 4: Simplify right side
    12,435.75x = 371,879,887.54
  5. Step 5: Solve for x
    x = 371,879,887.54/12,435.75
  6. Step 6: Final answer
    x = 29,904.10

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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.