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Finding the Third Proportional to 221,575 and 322,673

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Solution

The third proportional to 221,575 and 322,673 is: 469,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,575 : 322,673 = 322,673 : x
  2. Step 2: Convert to fraction form
    221,575/322,673 = 322,673/x
  3. Step 3: Cross multiply
    221,575x = 322,673 × 322,673
  4. Step 4: Simplify right side
    221,575x = 104,117,864,929
  5. Step 5: Solve for x
    x = 104,117,864,929/221,575
  6. Step 6: Final answer
    x = 469,898.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.