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Finding the Third Proportional to 286,048 and 428,520

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Solution

The third proportional to 286,048 and 428,520 is: 641,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,048 : 428,520 = 428,520 : x
  2. Step 2: Convert to fraction form
    286,048/428,520 = 428,520/x
  3. Step 3: Cross multiply
    286,048x = 428,520 × 428,520
  4. Step 4: Simplify right side
    286,048x = 183,629,390,400
  5. Step 5: Solve for x
    x = 183,629,390,400/286,048
  6. Step 6: Final answer
    x = 641,953.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.