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Finding the Third Proportional to 290,969 and 626,206

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Solution

The third proportional to 290,969 and 626,206 is: 1,347,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,969 : 626,206 = 626,206 : x
  2. Step 2: Convert to fraction form
    290,969/626,206 = 626,206/x
  3. Step 3: Cross multiply
    290,969x = 626,206 × 626,206
  4. Step 4: Simplify right side
    290,969x = 392,133,954,436
  5. Step 5: Solve for x
    x = 392,133,954,436/290,969
  6. Step 6: Final answer
    x = 1,347,682.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.