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Finding the Third Proportional to 290,855 and 626,015

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Solution

The third proportional to 290,855 and 626,015 is: 1,347,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,855 : 626,015 = 626,015 : x
  2. Step 2: Convert to fraction form
    290,855/626,015 = 626,015/x
  3. Step 3: Cross multiply
    290,855x = 626,015 × 626,015
  4. Step 4: Simplify right side
    290,855x = 391,894,780,225
  5. Step 5: Solve for x
    x = 391,894,780,225/290,855
  6. Step 6: Final answer
    x = 1,347,388.84

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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.