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Finding the Third Proportional to 212,642 and 460,276

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Solution

The third proportional to 212,642 and 460,276 is: 996,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,642 : 460,276 = 460,276 : x
  2. Step 2: Convert to fraction form
    212,642/460,276 = 460,276/x
  3. Step 3: Cross multiply
    212,642x = 460,276 × 460,276
  4. Step 4: Simplify right side
    212,642x = 211,853,996,176
  5. Step 5: Solve for x
    x = 211,853,996,176/212,642
  6. Step 6: Final answer
    x = 996,294.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.