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Finding the Third Proportional to 319,412 and 494,490

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Solution

The third proportional to 319,412 and 494,490 is: 765,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,412 : 494,490 = 494,490 : x
  2. Step 2: Convert to fraction form
    319,412/494,490 = 494,490/x
  3. Step 3: Cross multiply
    319,412x = 494,490 × 494,490
  4. Step 4: Simplify right side
    319,412x = 244,520,360,100
  5. Step 5: Solve for x
    x = 244,520,360,100/319,412
  6. Step 6: Final answer
    x = 765,532.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.