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Finding the Third Proportional to 321,289 and 697,886

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Solution

The third proportional to 321,289 and 697,886 is: 1,515,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,289 : 697,886 = 697,886 : x
  2. Step 2: Convert to fraction form
    321,289/697,886 = 697,886/x
  3. Step 3: Cross multiply
    321,289x = 697,886 × 697,886
  4. Step 4: Simplify right side
    321,289x = 487,044,868,996
  5. Step 5: Solve for x
    x = 487,044,868,996/321,289
  6. Step 6: Final answer
    x = 1,515,908.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.