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Finding the Third Proportional to 406,605 and 858,985

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Solution

The third proportional to 406,605 and 858,985 is: 1,814,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,605 : 858,985 = 858,985 : x
  2. Step 2: Convert to fraction form
    406,605/858,985 = 858,985/x
  3. Step 3: Cross multiply
    406,605x = 858,985 × 858,985
  4. Step 4: Simplify right side
    406,605x = 737,855,230,225
  5. Step 5: Solve for x
    x = 737,855,230,225/406,605
  6. Step 6: Final answer
    x = 1,814,673.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.