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Finding the Third Proportional to 8,403.75 and 12,641.06

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Solution

The third proportional to 8,403.75 and 12,641.06 is: 19,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.75 : 12,641.06 = 12,641.06 : x
  2. Step 2: Convert to fraction form
    8,403.75/12,641.06 = 12,641.06/x
  3. Step 3: Cross multiply
    8,403.75x = 12,641.06 × 12,641.06
  4. Step 4: Simplify right side
    8,403.75x = 159,796,461.13
  5. Step 5: Solve for x
    x = 159,796,461.13/8,403.75
  6. Step 6: Final answer
    x = 19,014.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.