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Finding the Third Proportional to 99,075 and 213,942

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Solution

The third proportional to 99,075 and 213,942 is: 461,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,075 : 213,942 = 213,942 : x
  2. Step 2: Convert to fraction form
    99,075/213,942 = 213,942/x
  3. Step 3: Cross multiply
    99,075x = 213,942 × 213,942
  4. Step 4: Simplify right side
    99,075x = 45,771,179,364
  5. Step 5: Solve for x
    x = 45,771,179,364/99,075
  6. Step 6: Final answer
    x = 461,985.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.