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Finding the Third Proportional to 103,633 and 221,485

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Solution

The third proportional to 103,633 and 221,485 is: 473,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633 : 221,485 = 221,485 : x
  2. Step 2: Convert to fraction form
    103,633/221,485 = 221,485/x
  3. Step 3: Cross multiply
    103,633x = 221,485 × 221,485
  4. Step 4: Simplify right side
    103,633x = 49,055,605,225
  5. Step 5: Solve for x
    x = 49,055,605,225/103,633
  6. Step 6: Final answer
    x = 473,358.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.