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Finding the Third Proportional to 287,296 and 610,904

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Solution

The third proportional to 287,296 and 610,904 is: 1,299,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,296 : 610,904 = 610,904 : x
  2. Step 2: Convert to fraction form
    287,296/610,904 = 610,904/x
  3. Step 3: Cross multiply
    287,296x = 610,904 × 610,904
  4. Step 4: Simplify right side
    287,296x = 373,203,697,216
  5. Step 5: Solve for x
    x = 373,203,697,216/287,296
  6. Step 6: Final answer
    x = 1,299,021.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.