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Finding the Third Proportional to 161,370 and 213,075

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Solution

The third proportional to 161,370 and 213,075 is: 281,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,370 : 213,075 = 213,075 : x
  2. Step 2: Convert to fraction form
    161,370/213,075 = 213,075/x
  3. Step 3: Cross multiply
    161,370x = 213,075 × 213,075
  4. Step 4: Simplify right side
    161,370x = 45,400,955,625
  5. Step 5: Solve for x
    x = 45,400,955,625/161,370
  6. Step 6: Final answer
    x = 281,346.94

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.