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Finding the Third Proportional to 166,455 and 253,831.50

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Solution

The third proportional to 166,455 and 253,831.50 is: 387,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,455 : 253,831.50 = 253,831.50 : x
  2. Step 2: Convert to fraction form
    166,455/253,831.50 = 253,831.50/x
  3. Step 3: Cross multiply
    166,455x = 253,831.50 × 253,831.50
  4. Step 4: Simplify right side
    166,455x = 64,430,430,392.25
  5. Step 5: Solve for x
    x = 64,430,430,392.25/166,455
  6. Step 6: Final answer
    x = 387,074.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.