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Finding the Third Proportional to 161,447 and 221,623

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Solution

The third proportional to 161,447 and 221,623 is: 304,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,447 : 221,623 = 221,623 : x
  2. Step 2: Convert to fraction form
    161,447/221,623 = 221,623/x
  3. Step 3: Cross multiply
    161,447x = 221,623 × 221,623
  4. Step 4: Simplify right side
    161,447x = 49,116,754,129
  5. Step 5: Solve for x
    x = 49,116,754,129/161,447
  6. Step 6: Final answer
    x = 304,228.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.