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Finding the Third Proportional to 20,957.63 and 31,707

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Solution

The third proportional to 20,957.63 and 31,707 is: 47,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.63 : 31,707 = 31,707 : x
  2. Step 2: Convert to fraction form
    20,957.63/31,707 = 31,707/x
  3. Step 3: Cross multiply
    20,957.63x = 31,707 × 31,707
  4. Step 4: Simplify right side
    20,957.63x = 1,005,333,849
  5. Step 5: Solve for x
    x = 1,005,333,849/20,957.63
  6. Step 6: Final answer
    x = 47,969.84

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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.