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Finding the Third Proportional to 307,614 and 413,901

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Solution

The third proportional to 307,614 and 413,901 is: 556,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,614 : 413,901 = 413,901 : x
  2. Step 2: Convert to fraction form
    307,614/413,901 = 413,901/x
  3. Step 3: Cross multiply
    307,614x = 413,901 × 413,901
  4. Step 4: Simplify right side
    307,614x = 171,314,037,801
  5. Step 5: Solve for x
    x = 171,314,037,801/307,614
  6. Step 6: Final answer
    x = 556,912.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.