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Finding the Third Proportional to 108,283.50 and 168,315.75

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Solution

The third proportional to 108,283.50 and 168,315.75 is: 261,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,283.50 : 168,315.75 = 168,315.75 : x
  2. Step 2: Convert to fraction form
    108,283.50/168,315.75 = 168,315.75/x
  3. Step 3: Cross multiply
    108,283.50x = 168,315.75 × 168,315.75
  4. Step 4: Simplify right side
    108,283.50x = 28,330,191,698.06
  5. Step 5: Solve for x
    x = 28,330,191,698.06/108,283.50
  6. Step 6: Final answer
    x = 261,629.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.