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Finding the Third Proportional to 137,851.25 and 210,831.75

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Solution

The third proportional to 137,851.25 and 210,831.75 is: 322,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.25 : 210,831.75 = 210,831.75 : x
  2. Step 2: Convert to fraction form
    137,851.25/210,831.75 = 210,831.75/x
  3. Step 3: Cross multiply
    137,851.25x = 210,831.75 × 210,831.75
  4. Step 4: Simplify right side
    137,851.25x = 44,450,026,808.06
  5. Step 5: Solve for x
    x = 44,450,026,808.06/137,851.25
  6. Step 6: Final answer
    x = 322,449.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.