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Finding the Third Proportional to 280,324 and 435,252

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Solution

The third proportional to 280,324 and 435,252 is: 675,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,324 : 435,252 = 435,252 : x
  2. Step 2: Convert to fraction form
    280,324/435,252 = 435,252/x
  3. Step 3: Cross multiply
    280,324x = 435,252 × 435,252
  4. Step 4: Simplify right side
    280,324x = 189,444,303,504
  5. Step 5: Solve for x
    x = 189,444,303,504/280,324
  6. Step 6: Final answer
    x = 675,804.80

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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.