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Finding the Third Proportional to 136,830 and 294,036

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Solution

The third proportional to 136,830 and 294,036 is: 631,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,830 : 294,036 = 294,036 : x
  2. Step 2: Convert to fraction form
    136,830/294,036 = 294,036/x
  3. Step 3: Cross multiply
    136,830x = 294,036 × 294,036
  4. Step 4: Simplify right side
    136,830x = 86,457,169,296
  5. Step 5: Solve for x
    x = 86,457,169,296/136,830
  6. Step 6: Final answer
    x = 631,858.29

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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.