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Finding the Third Proportional to 296,790 and 699,897

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Solution

The third proportional to 296,790 and 699,897 is: 1,650,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,790 : 699,897 = 699,897 : x
  2. Step 2: Convert to fraction form
    296,790/699,897 = 699,897/x
  3. Step 3: Cross multiply
    296,790x = 699,897 × 699,897
  4. Step 4: Simplify right side
    296,790x = 489,855,810,609
  5. Step 5: Solve for x
    x = 489,855,810,609/296,790
  6. Step 6: Final answer
    x = 1,650,513.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.