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Finding the Third Proportional to 1,277,102.25 and 1,977,619.50

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Solution

The third proportional to 1,277,102.25 and 1,977,619.50 is: 3,062,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,102.25 : 1,977,619.50 = 1,977,619.50 : x
  2. Step 2: Convert to fraction form
    1,277,102.25/1,977,619.50 = 1,977,619.50/x
  3. Step 3: Cross multiply
    1,277,102.25x = 1,977,619.50 × 1,977,619.50
  4. Step 4: Simplify right side
    1,277,102.25x = 3,910,978,886,780.25
  5. Step 5: Solve for x
    x = 3,910,978,886,780.25/1,277,102.25
  6. Step 6: Final answer
    x = 3,062,385.09

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