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Finding the Third Proportional to 333,120 and 732,655.50

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Solution

The third proportional to 333,120 and 732,655.50 is: 1,611,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,120 : 732,655.50 = 732,655.50 : x
  2. Step 2: Convert to fraction form
    333,120/732,655.50 = 732,655.50/x
  3. Step 3: Cross multiply
    333,120x = 732,655.50 × 732,655.50
  4. Step 4: Simplify right side
    333,120x = 536,784,081,680.25
  5. Step 5: Solve for x
    x = 536,784,081,680.25/333,120
  6. Step 6: Final answer
    x = 1,611,383.53

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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.