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Finding the Third Proportional to 1,540,132.50 and 2,394,202.50

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Solution

The third proportional to 1,540,132.50 and 2,394,202.50 is: 3,721,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,132.50 : 2,394,202.50 = 2,394,202.50 : x
  2. Step 2: Convert to fraction form
    1,540,132.50/2,394,202.50 = 2,394,202.50/x
  3. Step 3: Cross multiply
    1,540,132.50x = 2,394,202.50 × 2,394,202.50
  4. Step 4: Simplify right side
    1,540,132.50x = 5,732,205,611,006.25
  5. Step 5: Solve for x
    x = 5,732,205,611,006.25/1,540,132.50
  6. Step 6: Final answer
    x = 3,721,891.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.