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Finding the Third Proportional to 136,208 and 288,798

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Solution

The third proportional to 136,208 and 288,798 is: 612,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,208 : 288,798 = 288,798 : x
  2. Step 2: Convert to fraction form
    136,208/288,798 = 288,798/x
  3. Step 3: Cross multiply
    136,208x = 288,798 × 288,798
  4. Step 4: Simplify right side
    136,208x = 83,404,284,804
  5. Step 5: Solve for x
    x = 83,404,284,804/136,208
  6. Step 6: Final answer
    x = 612,330.29

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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.