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Finding the Third Proportional to 20,639.81 and 31,831.10

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Solution

The third proportional to 20,639.81 and 31,831.10 is: 49,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,639.81 : 31,831.10 = 31,831.10 : x
  2. Step 2: Convert to fraction form
    20,639.81/31,831.10 = 31,831.10/x
  3. Step 3: Cross multiply
    20,639.81x = 31,831.10 × 31,831.10
  4. Step 4: Simplify right side
    20,639.81x = 1,013,219,026.68
  5. Step 5: Solve for x
    x = 1,013,219,026.68/20,639.81
  6. Step 6: Final answer
    x = 49,090.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.