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Finding the Third Proportional to 212,850 and 457,989

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Solution

The third proportional to 212,850 and 457,989 is: 985,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,850 : 457,989 = 457,989 : x
  2. Step 2: Convert to fraction form
    212,850/457,989 = 457,989/x
  3. Step 3: Cross multiply
    212,850x = 457,989 × 457,989
  4. Step 4: Simplify right side
    212,850x = 209,753,924,121
  5. Step 5: Solve for x
    x = 209,753,924,121/212,850
  6. Step 6: Final answer
    x = 985,454.19

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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.