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Finding the Third Proportional to 136,629 and 293,670

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Solution

The third proportional to 136,629 and 293,670 is: 631,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,629 : 293,670 = 293,670 : x
  2. Step 2: Convert to fraction form
    136,629/293,670 = 293,670/x
  3. Step 3: Cross multiply
    136,629x = 293,670 × 293,670
  4. Step 4: Simplify right side
    136,629x = 86,242,068,900
  5. Step 5: Solve for x
    x = 86,242,068,900/136,629
  6. Step 6: Final answer
    x = 631,213.50

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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.