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Finding the Third Proportional to 383,628 and 828,330

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Solution

The third proportional to 383,628 and 828,330 is: 1,788,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,628 : 828,330 = 828,330 : x
  2. Step 2: Convert to fraction form
    383,628/828,330 = 828,330/x
  3. Step 3: Cross multiply
    383,628x = 828,330 × 828,330
  4. Step 4: Simplify right side
    383,628x = 686,130,588,900
  5. Step 5: Solve for x
    x = 686,130,588,900/383,628
  6. Step 6: Final answer
    x = 1,788,531.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.