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Finding the Third Proportional to 280,284 and 435,166

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Solution

The third proportional to 280,284 and 435,166 is: 675,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,284 : 435,166 = 435,166 : x
  2. Step 2: Convert to fraction form
    280,284/435,166 = 435,166/x
  3. Step 3: Cross multiply
    280,284x = 435,166 × 435,166
  4. Step 4: Simplify right side
    280,284x = 189,369,447,556
  5. Step 5: Solve for x
    x = 189,369,447,556/280,284
  6. Step 6: Final answer
    x = 675,634.17

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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.