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Finding the Third Proportional to 211,470 and 303,957

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Solution

The third proportional to 211,470 and 303,957 is: 436,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,470 : 303,957 = 303,957 : x
  2. Step 2: Convert to fraction form
    211,470/303,957 = 303,957/x
  3. Step 3: Cross multiply
    211,470x = 303,957 × 303,957
  4. Step 4: Simplify right side
    211,470x = 92,389,857,849
  5. Step 5: Solve for x
    x = 92,389,857,849/211,470
  6. Step 6: Final answer
    x = 436,893.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.