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Finding the Third Proportional to 74,447 and 163,636

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Solution

The third proportional to 74,447 and 163,636 is: 359,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,447 : 163,636 = 163,636 : x
  2. Step 2: Convert to fraction form
    74,447/163,636 = 163,636/x
  3. Step 3: Cross multiply
    74,447x = 163,636 × 163,636
  4. Step 4: Simplify right side
    74,447x = 26,776,740,496
  5. Step 5: Solve for x
    x = 26,776,740,496/74,447
  6. Step 6: Final answer
    x = 359,675.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.