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Finding the Third Proportional to 221,576 and 322,675.50

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Solution

The third proportional to 221,576 and 322,675.50 is: 469,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,576 : 322,675.50 = 322,675.50 : x
  2. Step 2: Convert to fraction form
    221,576/322,675.50 = 322,675.50/x
  3. Step 3: Cross multiply
    221,576x = 322,675.50 × 322,675.50
  4. Step 4: Simplify right side
    221,576x = 104,119,478,300.25
  5. Step 5: Solve for x
    x = 104,119,478,300.25/221,576
  6. Step 6: Final answer
    x = 469,904.13

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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.