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Finding the Third Proportional to 233,878 and 513,786

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Solution

The third proportional to 233,878 and 513,786 is: 1,128,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,878 : 513,786 = 513,786 : x
  2. Step 2: Convert to fraction form
    233,878/513,786 = 513,786/x
  3. Step 3: Cross multiply
    233,878x = 513,786 × 513,786
  4. Step 4: Simplify right side
    233,878x = 263,976,053,796
  5. Step 5: Solve for x
    x = 263,976,053,796/233,878
  6. Step 6: Final answer
    x = 1,128,691.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.