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Finding the Third Proportional to 103,485 and 159,810

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Solution

The third proportional to 103,485 and 159,810 is: 246,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,485 : 159,810 = 159,810 : x
  2. Step 2: Convert to fraction form
    103,485/159,810 = 159,810/x
  3. Step 3: Cross multiply
    103,485x = 159,810 × 159,810
  4. Step 4: Simplify right side
    103,485x = 25,539,236,100
  5. Step 5: Solve for x
    x = 25,539,236,100/103,485
  6. Step 6: Final answer
    x = 246,791.67

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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.