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Finding the Third Proportional to 333,748.50 and 735,577.50

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Solution

The third proportional to 333,748.50 and 735,577.50 is: 1,621,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,748.50 : 735,577.50 = 735,577.50 : x
  2. Step 2: Convert to fraction form
    333,748.50/735,577.50 = 735,577.50/x
  3. Step 3: Cross multiply
    333,748.50x = 735,577.50 × 735,577.50
  4. Step 4: Simplify right side
    333,748.50x = 541,074,258,506.25
  5. Step 5: Solve for x
    x = 541,074,258,506.25/333,748.50
  6. Step 6: Final answer
    x = 1,621,203.57

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