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Finding the Third Proportional to 290,290 and 426,895

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Solution

The third proportional to 290,290 and 426,895 is: 627,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,290 : 426,895 = 426,895 : x
  2. Step 2: Convert to fraction form
    290,290/426,895 = 426,895/x
  3. Step 3: Cross multiply
    290,290x = 426,895 × 426,895
  4. Step 4: Simplify right side
    290,290x = 182,239,341,025
  5. Step 5: Solve for x
    x = 182,239,341,025/290,290
  6. Step 6: Final answer
    x = 627,783.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.