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Finding the Third Proportional to 136,670 and 293,406

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Solution

The third proportional to 136,670 and 293,406 is: 629,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,670 : 293,406 = 293,406 : x
  2. Step 2: Convert to fraction form
    136,670/293,406 = 293,406/x
  3. Step 3: Cross multiply
    136,670x = 293,406 × 293,406
  4. Step 4: Simplify right side
    136,670x = 86,087,080,836
  5. Step 5: Solve for x
    x = 86,087,080,836/136,670
  6. Step 6: Final answer
    x = 629,890.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.