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Finding the Third Proportional to 290,856 and 446,916

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Solution

The third proportional to 290,856 and 446,916 is: 686,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,856 : 446,916 = 446,916 : x
  2. Step 2: Convert to fraction form
    290,856/446,916 = 446,916/x
  3. Step 3: Cross multiply
    290,856x = 446,916 × 446,916
  4. Step 4: Simplify right side
    290,856x = 199,733,911,056
  5. Step 5: Solve for x
    x = 199,733,911,056/290,856
  6. Step 6: Final answer
    x = 686,710.64

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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.