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Finding the Third Proportional to 293,453 and 642,994

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Solution

The third proportional to 293,453 and 642,994 is: 1,408,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,453 : 642,994 = 642,994 : x
  2. Step 2: Convert to fraction form
    293,453/642,994 = 642,994/x
  3. Step 3: Cross multiply
    293,453x = 642,994 × 642,994
  4. Step 4: Simplify right side
    293,453x = 413,441,284,036
  5. Step 5: Solve for x
    x = 413,441,284,036/293,453
  6. Step 6: Final answer
    x = 1,408,884.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.