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Finding the Third Proportional to 307,831.50 and 445,432.50

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Solution

The third proportional to 307,831.50 and 445,432.50 is: 644,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,831.50 : 445,432.50 = 445,432.50 : x
  2. Step 2: Convert to fraction form
    307,831.50/445,432.50 = 445,432.50/x
  3. Step 3: Cross multiply
    307,831.50x = 445,432.50 × 445,432.50
  4. Step 4: Simplify right side
    307,831.50x = 198,410,112,056.25
  5. Step 5: Solve for x
    x = 198,410,112,056.25/307,831.50
  6. Step 6: Final answer
    x = 644,541.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.