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Finding the Third Proportional to 20,655 and 31,070.25

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Solution

The third proportional to 20,655 and 31,070.25 is: 46,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655 : 31,070.25 = 31,070.25 : x
  2. Step 2: Convert to fraction form
    20,655/31,070.25 = 31,070.25/x
  3. Step 3: Cross multiply
    20,655x = 31,070.25 × 31,070.25
  4. Step 4: Simplify right side
    20,655x = 965,360,435.06
  5. Step 5: Solve for x
    x = 965,360,435.06/20,655
  6. Step 6: Final answer
    x = 46,737.37

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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.