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Finding the Third Proportional to 295,886 and 647,129

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Solution

The third proportional to 295,886 and 647,129 is: 1,415,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,886 : 647,129 = 647,129 : x
  2. Step 2: Convert to fraction form
    295,886/647,129 = 647,129/x
  3. Step 3: Cross multiply
    295,886x = 647,129 × 647,129
  4. Step 4: Simplify right side
    295,886x = 418,775,942,641
  5. Step 5: Solve for x
    x = 418,775,942,641/295,886
  6. Step 6: Final answer
    x = 1,415,328.68

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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.