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Finding the Third Proportional to 825,476 and 1,234,419

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Solution

The third proportional to 825,476 and 1,234,419 is: 1,845,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,476 : 1,234,419 = 1,234,419 : x
  2. Step 2: Convert to fraction form
    825,476/1,234,419 = 1,234,419/x
  3. Step 3: Cross multiply
    825,476x = 1,234,419 × 1,234,419
  4. Step 4: Simplify right side
    825,476x = 1,523,790,267,561
  5. Step 5: Solve for x
    x = 1,523,790,267,561/825,476
  6. Step 6: Final answer
    x = 1,845,953.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.