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Finding the Third Proportional to 20,428 and 30,763.50

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Solution

The third proportional to 20,428 and 30,763.50 is: 46,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428 : 30,763.50 = 30,763.50 : x
  2. Step 2: Convert to fraction form
    20,428/30,763.50 = 30,763.50/x
  3. Step 3: Cross multiply
    20,428x = 30,763.50 × 30,763.50
  4. Step 4: Simplify right side
    20,428x = 946,392,932.25
  5. Step 5: Solve for x
    x = 946,392,932.25/20,428
  6. Step 6: Final answer
    x = 46,328.22

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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.