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Finding the Third Proportional to 136,937 and 296,991

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Solution

The third proportional to 136,937 and 296,991 is: 644,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,937 : 296,991 = 296,991 : x
  2. Step 2: Convert to fraction form
    136,937/296,991 = 296,991/x
  3. Step 3: Cross multiply
    136,937x = 296,991 × 296,991
  4. Step 4: Simplify right side
    136,937x = 88,203,654,081
  5. Step 5: Solve for x
    x = 88,203,654,081/136,937
  6. Step 6: Final answer
    x = 644,118.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.