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Finding the Third Proportional to 286,989 and 446,886

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Solution

The third proportional to 286,989 and 446,886 is: 695,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,989 : 446,886 = 446,886 : x
  2. Step 2: Convert to fraction form
    286,989/446,886 = 446,886/x
  3. Step 3: Cross multiply
    286,989x = 446,886 × 446,886
  4. Step 4: Simplify right side
    286,989x = 199,707,096,996
  5. Step 5: Solve for x
    x = 199,707,096,996/286,989
  6. Step 6: Final answer
    x = 695,870.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.