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Finding the Third Proportional to 383,419 and 830,302

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Solution

The third proportional to 383,419 and 830,302 is: 1,798,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,419 : 830,302 = 830,302 : x
  2. Step 2: Convert to fraction form
    383,419/830,302 = 830,302/x
  3. Step 3: Cross multiply
    383,419x = 830,302 × 830,302
  4. Step 4: Simplify right side
    383,419x = 689,401,411,204
  5. Step 5: Solve for x
    x = 689,401,411,204/383,419
  6. Step 6: Final answer
    x = 1,798,036.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.