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Finding the Third Proportional to 345,408 and 743,302.50

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Solution

The third proportional to 345,408 and 743,302.50 is: 1,599,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,408 : 743,302.50 = 743,302.50 : x
  2. Step 2: Convert to fraction form
    345,408/743,302.50 = 743,302.50/x
  3. Step 3: Cross multiply
    345,408x = 743,302.50 × 743,302.50
  4. Step 4: Simplify right side
    345,408x = 552,498,606,506.25
  5. Step 5: Solve for x
    x = 552,498,606,506.25/345,408
  6. Step 6: Final answer
    x = 1,599,553.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.