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Finding the Third Proportional to 136,550 and 297,036

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Solution

The third proportional to 136,550 and 297,036 is: 646,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,550 : 297,036 = 297,036 : x
  2. Step 2: Convert to fraction form
    136,550/297,036 = 297,036/x
  3. Step 3: Cross multiply
    136,550x = 297,036 × 297,036
  4. Step 4: Simplify right side
    136,550x = 88,230,385,296
  5. Step 5: Solve for x
    x = 88,230,385,296/136,550
  6. Step 6: Final answer
    x = 646,139.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.