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Finding the Third Proportional to 313,278 and 504,423

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Solution

The third proportional to 313,278 and 504,423 is: 812,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,278 : 504,423 = 504,423 : x
  2. Step 2: Convert to fraction form
    313,278/504,423 = 504,423/x
  3. Step 3: Cross multiply
    313,278x = 504,423 × 504,423
  4. Step 4: Simplify right side
    313,278x = 254,442,562,929
  5. Step 5: Solve for x
    x = 254,442,562,929/313,278
  6. Step 6: Final answer
    x = 812,194.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.