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Finding the Third Proportional to 290,826 and 434,502

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Solution

The third proportional to 290,826 and 434,502 is: 649,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,826 : 434,502 = 434,502 : x
  2. Step 2: Convert to fraction form
    290,826/434,502 = 434,502/x
  3. Step 3: Cross multiply
    290,826x = 434,502 × 434,502
  4. Step 4: Simplify right side
    290,826x = 188,791,988,004
  5. Step 5: Solve for x
    x = 188,791,988,004/290,826
  6. Step 6: Final answer
    x = 649,157.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.