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Finding the Third Proportional to 355,395.75 and 777,219

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Solution

The third proportional to 355,395.75 and 777,219 is: 1,699,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,395.75 : 777,219 = 777,219 : x
  2. Step 2: Convert to fraction form
    355,395.75/777,219 = 777,219/x
  3. Step 3: Cross multiply
    355,395.75x = 777,219 × 777,219
  4. Step 4: Simplify right side
    355,395.75x = 604,069,373,961
  5. Step 5: Solve for x
    x = 604,069,373,961/355,395.75
  6. Step 6: Final answer
    x = 1,699,709.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.