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Finding the Third Proportional to 212,841 and 457,970.63

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Solution

The third proportional to 212,841 and 457,970.63 is: 985,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,841 : 457,970.63 = 457,970.63 : x
  2. Step 2: Convert to fraction form
    212,841/457,970.63 = 457,970.63/x
  3. Step 3: Cross multiply
    212,841x = 457,970.63 × 457,970.63
  4. Step 4: Simplify right side
    212,841x = 209,737,093,362.89
  5. Step 5: Solve for x
    x = 209,737,093,362.89/212,841
  6. Step 6: Final answer
    x = 985,416.78

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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.