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Finding the Third Proportional to 136,218 and 288,818

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Solution

The third proportional to 136,218 and 288,818 is: 612,370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,218 : 288,818 = 288,818 : x
  2. Step 2: Convert to fraction form
    136,218/288,818 = 288,818/x
  3. Step 3: Cross multiply
    136,218x = 288,818 × 288,818
  4. Step 4: Simplify right side
    136,218x = 83,415,837,124
  5. Step 5: Solve for x
    x = 83,415,837,124/136,218
  6. Step 6: Final answer
    x = 612,370.15

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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.