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Finding the Third Proportional to 129,845.50 and 202,969.50

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Solution

The third proportional to 129,845.50 and 202,969.50 is: 317,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,845.50 : 202,969.50 = 202,969.50 : x
  2. Step 2: Convert to fraction form
    129,845.50/202,969.50 = 202,969.50/x
  3. Step 3: Cross multiply
    129,845.50x = 202,969.50 × 202,969.50
  4. Step 4: Simplify right side
    129,845.50x = 41,196,617,930.25
  5. Step 5: Solve for x
    x = 41,196,617,930.25/129,845.50
  6. Step 6: Final answer
    x = 317,274.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.