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Finding the Third Proportional to 84,021 and 175,831.50

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Solution

The third proportional to 84,021 and 175,831.50 is: 367,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,021 : 175,831.50 = 175,831.50 : x
  2. Step 2: Convert to fraction form
    84,021/175,831.50 = 175,831.50/x
  3. Step 3: Cross multiply
    84,021x = 175,831.50 × 175,831.50
  4. Step 4: Simplify right side
    84,021x = 30,916,716,392.25
  5. Step 5: Solve for x
    x = 30,916,716,392.25/84,021
  6. Step 6: Final answer
    x = 367,964.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.