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Finding the Third Proportional to 12,656.75 and 19,647.75

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Solution

The third proportional to 12,656.75 and 19,647.75 is: 30,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.75 : 19,647.75 = 19,647.75 : x
  2. Step 2: Convert to fraction form
    12,656.75/19,647.75 = 19,647.75/x
  3. Step 3: Cross multiply
    12,656.75x = 19,647.75 × 19,647.75
  4. Step 4: Simplify right side
    12,656.75x = 386,034,080.06
  5. Step 5: Solve for x
    x = 386,034,080.06/12,656.75
  6. Step 6: Final answer
    x = 30,500.25

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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.