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Finding the Third Proportional to 136,980 and 294,330

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Solution

The third proportional to 136,980 and 294,330 is: 632,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,980 : 294,330 = 294,330 : x
  2. Step 2: Convert to fraction form
    136,980/294,330 = 294,330/x
  3. Step 3: Cross multiply
    136,980x = 294,330 × 294,330
  4. Step 4: Simplify right side
    136,980x = 86,630,148,900
  5. Step 5: Solve for x
    x = 86,630,148,900/136,980
  6. Step 6: Final answer
    x = 632,429.18

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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.