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Finding the Third Proportional to 215,254 and 300,937

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Solution

The third proportional to 215,254 and 300,937 is: 420,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,254 : 300,937 = 300,937 : x
  2. Step 2: Convert to fraction form
    215,254/300,937 = 300,937/x
  3. Step 3: Cross multiply
    215,254x = 300,937 × 300,937
  4. Step 4: Simplify right side
    215,254x = 90,563,077,969
  5. Step 5: Solve for x
    x = 90,563,077,969/215,254
  6. Step 6: Final answer
    x = 420,726.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.