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Finding the Third Proportional to 295,922 and 647,206

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Solution

The third proportional to 295,922 and 647,206 is: 1,415,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,922 : 647,206 = 647,206 : x
  2. Step 2: Convert to fraction form
    295,922/647,206 = 647,206/x
  3. Step 3: Cross multiply
    295,922x = 647,206 × 647,206
  4. Step 4: Simplify right side
    295,922x = 418,875,606,436
  5. Step 5: Solve for x
    x = 418,875,606,436/295,922
  6. Step 6: Final answer
    x = 1,415,493.29

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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.