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Finding the Third Proportional to 355,458 and 759,876

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Solution

The third proportional to 355,458 and 759,876 is: 1,624,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,458 : 759,876 = 759,876 : x
  2. Step 2: Convert to fraction form
    355,458/759,876 = 759,876/x
  3. Step 3: Cross multiply
    355,458x = 759,876 × 759,876
  4. Step 4: Simplify right side
    355,458x = 577,411,535,376
  5. Step 5: Solve for x
    x = 577,411,535,376/355,458
  6. Step 6: Final answer
    x = 1,624,415.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.