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Finding the Third Proportional to 135,900 and 294,480

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Solution

The third proportional to 135,900 and 294,480 is: 638,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,900 : 294,480 = 294,480 : x
  2. Step 2: Convert to fraction form
    135,900/294,480 = 294,480/x
  3. Step 3: Cross multiply
    135,900x = 294,480 × 294,480
  4. Step 4: Simplify right side
    135,900x = 86,718,470,400
  5. Step 5: Solve for x
    x = 86,718,470,400/135,900
  6. Step 6: Final answer
    x = 638,105.01

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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.