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Finding the Third Proportional to 21,129.75 and 31,779

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Solution

The third proportional to 21,129.75 and 31,779 is: 47,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.75 : 31,779 = 31,779 : x
  2. Step 2: Convert to fraction form
    21,129.75/31,779 = 31,779/x
  3. Step 3: Cross multiply
    21,129.75x = 31,779 × 31,779
  4. Step 4: Simplify right side
    21,129.75x = 1,009,904,841
  5. Step 5: Solve for x
    x = 1,009,904,841/21,129.75
  6. Step 6: Final answer
    x = 47,795.40

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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.