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Finding the Third Proportional to 406,970 and 557,682

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Solution

The third proportional to 406,970 and 557,682 is: 764,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,970 : 557,682 = 557,682 : x
  2. Step 2: Convert to fraction form
    406,970/557,682 = 557,682/x
  3. Step 3: Cross multiply
    406,970x = 557,682 × 557,682
  4. Step 4: Simplify right side
    406,970x = 311,009,213,124
  5. Step 5: Solve for x
    x = 311,009,213,124/406,970
  6. Step 6: Final answer
    x = 764,206.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.