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Finding the Third Proportional to 284,808 and 383,388

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Solution

The third proportional to 284,808 and 383,388 is: 516,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,808 : 383,388 = 383,388 : x
  2. Step 2: Convert to fraction form
    284,808/383,388 = 383,388/x
  3. Step 3: Cross multiply
    284,808x = 383,388 × 383,388
  4. Step 4: Simplify right side
    284,808x = 146,986,358,544
  5. Step 5: Solve for x
    x = 146,986,358,544/284,808
  6. Step 6: Final answer
    x = 516,089.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.