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Finding the Third Proportional to 136,206.50 and 288,795

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Solution

The third proportional to 136,206.50 and 288,795 is: 612,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,206.50 : 288,795 = 288,795 : x
  2. Step 2: Convert to fraction form
    136,206.50/288,795 = 288,795/x
  3. Step 3: Cross multiply
    136,206.50x = 288,795 × 288,795
  4. Step 4: Simplify right side
    136,206.50x = 83,402,552,025
  5. Step 5: Solve for x
    x = 83,402,552,025/136,206.50
  6. Step 6: Final answer
    x = 612,324.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.