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Finding the Third Proportional to 355,955 and 757,126

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Solution

The third proportional to 355,955 and 757,126 is: 1,610,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,955 : 757,126 = 757,126 : x
  2. Step 2: Convert to fraction form
    355,955/757,126 = 757,126/x
  3. Step 3: Cross multiply
    355,955x = 757,126 × 757,126
  4. Step 4: Simplify right side
    355,955x = 573,239,779,876
  5. Step 5: Solve for x
    x = 573,239,779,876/355,955
  6. Step 6: Final answer
    x = 1,610,427.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.