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Finding the Third Proportional to 298,774 and 457,248

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Solution

The third proportional to 298,774 and 457,248 is: 699,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,774 : 457,248 = 457,248 : x
  2. Step 2: Convert to fraction form
    298,774/457,248 = 457,248/x
  3. Step 3: Cross multiply
    298,774x = 457,248 × 457,248
  4. Step 4: Simplify right side
    298,774x = 209,075,733,504
  5. Step 5: Solve for x
    x = 209,075,733,504/298,774
  6. Step 6: Final answer
    x = 699,778.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.