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Finding the Third Proportional to 133,482 and 290,196

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Solution

The third proportional to 133,482 and 290,196 is: 630,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,482 : 290,196 = 290,196 : x
  2. Step 2: Convert to fraction form
    133,482/290,196 = 290,196/x
  3. Step 3: Cross multiply
    133,482x = 290,196 × 290,196
  4. Step 4: Simplify right side
    133,482x = 84,213,718,416
  5. Step 5: Solve for x
    x = 84,213,718,416/133,482
  6. Step 6: Final answer
    x = 630,899.44

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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.