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Finding the Third Proportional to 406,604 and 858,982

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Solution

The third proportional to 406,604 and 858,982 is: 1,814,665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,604 : 858,982 = 858,982 : x
  2. Step 2: Convert to fraction form
    406,604/858,982 = 858,982/x
  3. Step 3: Cross multiply
    406,604x = 858,982 × 858,982
  4. Step 4: Simplify right side
    406,604x = 737,850,076,324
  5. Step 5: Solve for x
    x = 737,850,076,324/406,604
  6. Step 6: Final answer
    x = 1,814,665.07

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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.