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Finding the Third Proportional to 385,605 and 835,566

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Solution

The third proportional to 385,605 and 835,566 is: 1,810,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,605 : 835,566 = 835,566 : x
  2. Step 2: Convert to fraction form
    385,605/835,566 = 835,566/x
  3. Step 3: Cross multiply
    385,605x = 835,566 × 835,566
  4. Step 4: Simplify right side
    385,605x = 698,170,540,356
  5. Step 5: Solve for x
    x = 698,170,540,356/385,605
  6. Step 6: Final answer
    x = 1,810,584.77

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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.