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Finding the Third Proportional to 355,625 and 775,159

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Solution

The third proportional to 355,625 and 775,159 is: 1,689,621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,625 : 775,159 = 775,159 : x
  2. Step 2: Convert to fraction form
    355,625/775,159 = 775,159/x
  3. Step 3: Cross multiply
    355,625x = 775,159 × 775,159
  4. Step 4: Simplify right side
    355,625x = 600,871,475,281
  5. Step 5: Solve for x
    x = 600,871,475,281/355,625
  6. Step 6: Final answer
    x = 1,689,621.02

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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.