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Finding the Third Proportional to 355,220 and 500,282

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Solution

The third proportional to 355,220 and 500,282 is: 704,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,220 : 500,282 = 500,282 : x
  2. Step 2: Convert to fraction form
    355,220/500,282 = 500,282/x
  3. Step 3: Cross multiply
    355,220x = 500,282 × 500,282
  4. Step 4: Simplify right side
    355,220x = 250,282,079,524
  5. Step 5: Solve for x
    x = 250,282,079,524/355,220
  6. Step 6: Final answer
    x = 704,583.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.