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Finding the Third Proportional to 1,288,234.13 and 2,798,448.75

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Solution

The third proportional to 1,288,234.13 and 2,798,448.75 is: 6,079,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,234.13 : 2,798,448.75 = 2,798,448.75 : x
  2. Step 2: Convert to fraction form
    1,288,234.13/2,798,448.75 = 2,798,448.75/x
  3. Step 3: Cross multiply
    1,288,234.13x = 2,798,448.75 × 2,798,448.75
  4. Step 4: Simplify right side
    1,288,234.13x = 7,831,315,406,376.56
  5. Step 5: Solve for x
    x = 7,831,315,406,376.56/1,288,234.13
  6. Step 6: Final answer
    x = 6,079,108.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.