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Finding the Third Proportional to 280,476 and 435,120

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Solution

The third proportional to 280,476 and 435,120 is: 675,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,476 : 435,120 = 435,120 : x
  2. Step 2: Convert to fraction form
    280,476/435,120 = 435,120/x
  3. Step 3: Cross multiply
    280,476x = 435,120 × 435,120
  4. Step 4: Simplify right side
    280,476x = 189,329,414,400
  5. Step 5: Solve for x
    x = 189,329,414,400/280,476
  6. Step 6: Final answer
    x = 675,028.93

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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.