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Finding the Third Proportional to 290,505 and 626,897

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Solution

The third proportional to 290,505 and 626,897 is: 1,352,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,505 : 626,897 = 626,897 : x
  2. Step 2: Convert to fraction form
    290,505/626,897 = 626,897/x
  3. Step 3: Cross multiply
    290,505x = 626,897 × 626,897
  4. Step 4: Simplify right side
    290,505x = 392,999,848,609
  5. Step 5: Solve for x
    x = 392,999,848,609/290,505
  6. Step 6: Final answer
    x = 1,352,816.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.