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Finding the Third Proportional to 345,193.50 and 753,142.50

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Solution

The third proportional to 345,193.50 and 753,142.50 is: 1,643,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,193.50 : 753,142.50 = 753,142.50 : x
  2. Step 2: Convert to fraction form
    345,193.50/753,142.50 = 753,142.50/x
  3. Step 3: Cross multiply
    345,193.50x = 753,142.50 × 753,142.50
  4. Step 4: Simplify right side
    345,193.50x = 567,223,625,306.25
  5. Step 5: Solve for x
    x = 567,223,625,306.25/345,193.50
  6. Step 6: Final answer
    x = 1,643,204.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.