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Finding the Third Proportional to 155,780 and 338,897

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Solution

The third proportional to 155,780 and 338,897 is: 737,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,780 : 338,897 = 338,897 : x
  2. Step 2: Convert to fraction form
    155,780/338,897 = 338,897/x
  3. Step 3: Cross multiply
    155,780x = 338,897 × 338,897
  4. Step 4: Simplify right side
    155,780x = 114,851,176,609
  5. Step 5: Solve for x
    x = 114,851,176,609/155,780
  6. Step 6: Final answer
    x = 737,265.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.