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Finding the Third Proportional to 413,379 and 585,090

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Solution

The third proportional to 413,379 and 585,090 is: 828,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,379 : 585,090 = 585,090 : x
  2. Step 2: Convert to fraction form
    413,379/585,090 = 585,090/x
  3. Step 3: Cross multiply
    413,379x = 585,090 × 585,090
  4. Step 4: Simplify right side
    413,379x = 342,330,308,100
  5. Step 5: Solve for x
    x = 342,330,308,100/413,379
  6. Step 6: Final answer
    x = 828,126.99

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.