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Finding the Third Proportional to 132,118 and 290,480

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Solution

The third proportional to 132,118 and 290,480 is: 638,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,118 : 290,480 = 290,480 : x
  2. Step 2: Convert to fraction form
    132,118/290,480 = 290,480/x
  3. Step 3: Cross multiply
    132,118x = 290,480 × 290,480
  4. Step 4: Simplify right side
    132,118x = 84,378,630,400
  5. Step 5: Solve for x
    x = 84,378,630,400/132,118
  6. Step 6: Final answer
    x = 638,661.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.