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Finding the Third Proportional to 212,808 and 456,980

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Solution

The third proportional to 212,808 and 456,980 is: 981,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,808 : 456,980 = 456,980 : x
  2. Step 2: Convert to fraction form
    212,808/456,980 = 456,980/x
  3. Step 3: Cross multiply
    212,808x = 456,980 × 456,980
  4. Step 4: Simplify right side
    212,808x = 208,830,720,400
  5. Step 5: Solve for x
    x = 208,830,720,400/212,808
  6. Step 6: Final answer
    x = 981,310.48

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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.