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Finding the Third Proportional to 257,508 and 384,768

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Solution

The third proportional to 257,508 and 384,768 is: 574,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,508 : 384,768 = 384,768 : x
  2. Step 2: Convert to fraction form
    257,508/384,768 = 384,768/x
  3. Step 3: Cross multiply
    257,508x = 384,768 × 384,768
  4. Step 4: Simplify right side
    257,508x = 148,046,413,824
  5. Step 5: Solve for x
    x = 148,046,413,824/257,508
  6. Step 6: Final answer
    x = 574,919.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.