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Finding the Third Proportional to 290,862 and 446,925

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Solution

The third proportional to 290,862 and 446,925 is: 686,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,862 : 446,925 = 446,925 : x
  2. Step 2: Convert to fraction form
    290,862/446,925 = 446,925/x
  3. Step 3: Cross multiply
    290,862x = 446,925 × 446,925
  4. Step 4: Simplify right side
    290,862x = 199,741,955,625
  5. Step 5: Solve for x
    x = 199,741,955,625/290,862
  6. Step 6: Final answer
    x = 686,724.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.