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Finding the Third Proportional to 413,990 and 623,031

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Solution

The third proportional to 413,990 and 623,031 is: 937,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,990 : 623,031 = 623,031 : x
  2. Step 2: Convert to fraction form
    413,990/623,031 = 623,031/x
  3. Step 3: Cross multiply
    413,990x = 623,031 × 623,031
  4. Step 4: Simplify right side
    413,990x = 388,167,626,961
  5. Step 5: Solve for x
    x = 388,167,626,961/413,990
  6. Step 6: Final answer
    x = 937,625.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.