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Finding the Third Proportional to 418,556 and 626,199

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Solution

The third proportional to 418,556 and 626,199 is: 936,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,556 : 626,199 = 626,199 : x
  2. Step 2: Convert to fraction form
    418,556/626,199 = 626,199/x
  3. Step 3: Cross multiply
    418,556x = 626,199 × 626,199
  4. Step 4: Simplify right side
    418,556x = 392,125,187,601
  5. Step 5: Solve for x
    x = 392,125,187,601/418,556
  6. Step 6: Final answer
    x = 936,852.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.