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Finding the Third Proportional to 295,379 and 647,943

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Solution

The third proportional to 295,379 and 647,943 is: 1,421,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,379 : 647,943 = 647,943 : x
  2. Step 2: Convert to fraction form
    295,379/647,943 = 647,943/x
  3. Step 3: Cross multiply
    295,379x = 647,943 × 647,943
  4. Step 4: Simplify right side
    295,379x = 419,830,131,249
  5. Step 5: Solve for x
    x = 419,830,131,249/295,379
  6. Step 6: Final answer
    x = 1,421,326.94

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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.