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Finding the Third Proportional to 303,136 and 421,482

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Solution

The third proportional to 303,136 and 421,482 is: 586,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,136 : 421,482 = 421,482 : x
  2. Step 2: Convert to fraction form
    303,136/421,482 = 421,482/x
  3. Step 3: Cross multiply
    303,136x = 421,482 × 421,482
  4. Step 4: Simplify right side
    303,136x = 177,647,076,324
  5. Step 5: Solve for x
    x = 177,647,076,324/303,136
  6. Step 6: Final answer
    x = 586,030.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.