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Finding the Third Proportional to 321,894 and 697,545

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Solution

The third proportional to 321,894 and 697,545 is: 1,511,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,894 : 697,545 = 697,545 : x
  2. Step 2: Convert to fraction form
    321,894/697,545 = 697,545/x
  3. Step 3: Cross multiply
    321,894x = 697,545 × 697,545
  4. Step 4: Simplify right side
    321,894x = 486,569,027,025
  5. Step 5: Solve for x
    x = 486,569,027,025/321,894
  6. Step 6: Final answer
    x = 1,511,581.54

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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.