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Finding the Third Proportional to 321,888 and 697,533

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Solution

The third proportional to 321,888 and 697,533 is: 1,511,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,888 : 697,533 = 697,533 : x
  2. Step 2: Convert to fraction form
    321,888/697,533 = 697,533/x
  3. Step 3: Cross multiply
    321,888x = 697,533 × 697,533
  4. Step 4: Simplify right side
    321,888x = 486,552,286,089
  5. Step 5: Solve for x
    x = 486,552,286,089/321,888
  6. Step 6: Final answer
    x = 1,511,557.70

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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.