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Finding the Third Proportional to 511,623 and 715,647

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Solution

The third proportional to 511,623 and 715,647 is: 1,001,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,623 : 715,647 = 715,647 : x
  2. Step 2: Convert to fraction form
    511,623/715,647 = 715,647/x
  3. Step 3: Cross multiply
    511,623x = 715,647 × 715,647
  4. Step 4: Simplify right side
    511,623x = 512,150,628,609
  5. Step 5: Solve for x
    x = 512,150,628,609/511,623
  6. Step 6: Final answer
    x = 1,001,031.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.