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Finding the Third Proportional to 20,030.63 and 31,420.69

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Solution

The third proportional to 20,030.63 and 31,420.69 is: 49,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.63 : 31,420.69 = 31,420.69 : x
  2. Step 2: Convert to fraction form
    20,030.63/31,420.69 = 31,420.69/x
  3. Step 3: Cross multiply
    20,030.63x = 31,420.69 × 31,420.69
  4. Step 4: Simplify right side
    20,030.63x = 987,259,602.97
  5. Step 5: Solve for x
    x = 987,259,602.97/20,030.63
  6. Step 6: Final answer
    x = 49,287.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.