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Finding the Third Proportional to 12,739.78 and 29,975.91

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Solution

The third proportional to 12,739.78 and 29,975.91 is: 70,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.78 : 29,975.91 = 29,975.91 : x
  2. Step 2: Convert to fraction form
    12,739.78/29,975.91 = 29,975.91/x
  3. Step 3: Cross multiply
    12,739.78x = 29,975.91 × 29,975.91
  4. Step 4: Simplify right side
    12,739.78x = 898,554,955.51
  5. Step 5: Solve for x
    x = 898,554,955.51/12,739.78
  6. Step 6: Final answer
    x = 70,531.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.