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Finding the Third Proportional to 20,128.50 and 29,602.13

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Solution

The third proportional to 20,128.50 and 29,602.13 is: 43,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.50 : 29,602.13 = 29,602.13 : x
  2. Step 2: Convert to fraction form
    20,128.50/29,602.13 = 29,602.13/x
  3. Step 3: Cross multiply
    20,128.50x = 29,602.13 × 29,602.13
  4. Step 4: Simplify right side
    20,128.50x = 876,285,804.52
  5. Step 5: Solve for x
    x = 876,285,804.52/20,128.50
  6. Step 6: Final answer
    x = 43,534.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.