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Finding the Third Proportional to 42,075 and 63,220.50

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Solution

The third proportional to 42,075 and 63,220.50 is: 94,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,075 : 63,220.50 = 63,220.50 : x
  2. Step 2: Convert to fraction form
    42,075/63,220.50 = 63,220.50/x
  3. Step 3: Cross multiply
    42,075x = 63,220.50 × 63,220.50
  4. Step 4: Simplify right side
    42,075x = 3,996,831,620.25
  5. Step 5: Solve for x
    x = 3,996,831,620.25/42,075
  6. Step 6: Final answer
    x = 94,993.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.