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Finding the Third Proportional to 12,712.50 and 19,239.75

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Solution

The third proportional to 12,712.50 and 19,239.75 is: 29,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.50 : 19,239.75 = 19,239.75 : x
  2. Step 2: Convert to fraction form
    12,712.50/19,239.75 = 19,239.75/x
  3. Step 3: Cross multiply
    12,712.50x = 19,239.75 × 19,239.75
  4. Step 4: Simplify right side
    12,712.50x = 370,167,980.06
  5. Step 5: Solve for x
    x = 370,167,980.06/12,712.50
  6. Step 6: Final answer
    x = 29,118.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.