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Finding the Third Proportional to 355,628 and 775,164

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Solution

The third proportional to 355,628 and 775,164 is: 1,689,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,628 : 775,164 = 775,164 : x
  2. Step 2: Convert to fraction form
    355,628/775,164 = 775,164/x
  3. Step 3: Cross multiply
    355,628x = 775,164 × 775,164
  4. Step 4: Simplify right side
    355,628x = 600,879,226,896
  5. Step 5: Solve for x
    x = 600,879,226,896/355,628
  6. Step 6: Final answer
    x = 1,689,628.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.