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Finding the Third Proportional to 20,343 and 30,802.50

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Solution

The third proportional to 20,343 and 30,802.50 is: 46,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,343 : 30,802.50 = 30,802.50 : x
  2. Step 2: Convert to fraction form
    20,343/30,802.50 = 30,802.50/x
  3. Step 3: Cross multiply
    20,343x = 30,802.50 × 30,802.50
  4. Step 4: Simplify right side
    20,343x = 948,794,006.25
  5. Step 5: Solve for x
    x = 948,794,006.25/20,343
  6. Step 6: Final answer
    x = 46,639.83

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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.