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Finding the Third Proportional to 180,011 and 388,897

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Solution

The third proportional to 180,011 and 388,897 is: 840,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,011 : 388,897 = 388,897 : x
  2. Step 2: Convert to fraction form
    180,011/388,897 = 388,897/x
  3. Step 3: Cross multiply
    180,011x = 388,897 × 388,897
  4. Step 4: Simplify right side
    180,011x = 151,240,876,609
  5. Step 5: Solve for x
    x = 151,240,876,609/180,011
  6. Step 6: Final answer
    x = 840,175.75

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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.