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Finding the Third Proportional to 30,075 and 64,968

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Solution

The third proportional to 30,075 and 64,968 is: 140,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075 : 64,968 = 64,968 : x
  2. Step 2: Convert to fraction form
    30,075/64,968 = 64,968/x
  3. Step 3: Cross multiply
    30,075x = 64,968 × 64,968
  4. Step 4: Simplify right side
    30,075x = 4,220,841,024
  5. Step 5: Solve for x
    x = 4,220,841,024/30,075
  6. Step 6: Final answer
    x = 140,343.84

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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.