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Finding the Third Proportional to 355,371.75 and 777,174.75

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Solution

The third proportional to 355,371.75 and 777,174.75 is: 1,699,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,371.75 : 777,174.75 = 777,174.75 : x
  2. Step 2: Convert to fraction form
    355,371.75/777,174.75 = 777,174.75/x
  3. Step 3: Cross multiply
    355,371.75x = 777,174.75 × 777,174.75
  4. Step 4: Simplify right side
    355,371.75x = 604,000,592,037.56
  5. Step 5: Solve for x
    x = 604,000,592,037.56/355,371.75
  6. Step 6: Final answer
    x = 1,699,630.29

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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.