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Finding the Third Proportional to 221,130 and 333,525.09

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Solution

The third proportional to 221,130 and 333,525.09 is: 503,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,130 : 333,525.09 = 333,525.09 : x
  2. Step 2: Convert to fraction form
    221,130/333,525.09 = 333,525.09/x
  3. Step 3: Cross multiply
    221,130x = 333,525.09 × 333,525.09
  4. Step 4: Simplify right side
    221,130x = 111,238,988,160.95
  5. Step 5: Solve for x
    x = 111,238,988,160.95/221,130
  6. Step 6: Final answer
    x = 503,047.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.