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Finding the Third Proportional to 212,646 and 460,284

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Solution

The third proportional to 212,646 and 460,284 is: 996,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,646 : 460,284 = 460,284 : x
  2. Step 2: Convert to fraction form
    212,646/460,284 = 460,284/x
  3. Step 3: Cross multiply
    212,646x = 460,284 × 460,284
  4. Step 4: Simplify right side
    212,646x = 211,861,360,656
  5. Step 5: Solve for x
    x = 211,861,360,656/212,646
  6. Step 6: Final answer
    x = 996,310.11

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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.