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Finding the Third Proportional to 280,296 and 435,184

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Solution

The third proportional to 280,296 and 435,184 is: 675,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,296 : 435,184 = 435,184 : x
  2. Step 2: Convert to fraction form
    280,296/435,184 = 435,184/x
  3. Step 3: Cross multiply
    280,296x = 435,184 × 435,184
  4. Step 4: Simplify right side
    280,296x = 189,385,113,856
  5. Step 5: Solve for x
    x = 189,385,113,856/280,296
  6. Step 6: Final answer
    x = 675,661.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.