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Finding the Third Proportional to 385,564 and 835,474

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Solution

The third proportional to 385,564 and 835,474 is: 1,810,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,564 : 835,474 = 835,474 : x
  2. Step 2: Convert to fraction form
    385,564/835,474 = 835,474/x
  3. Step 3: Cross multiply
    385,564x = 835,474 × 835,474
  4. Step 4: Simplify right side
    385,564x = 698,016,804,676
  5. Step 5: Solve for x
    x = 698,016,804,676/385,564
  6. Step 6: Final answer
    x = 1,810,378.57

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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.