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Finding the Third Proportional to 511,854 and 802,875

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Solution

The third proportional to 511,854 and 802,875 is: 1,259,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,854 : 802,875 = 802,875 : x
  2. Step 2: Convert to fraction form
    511,854/802,875 = 802,875/x
  3. Step 3: Cross multiply
    511,854x = 802,875 × 802,875
  4. Step 4: Simplify right side
    511,854x = 644,608,265,625
  5. Step 5: Solve for x
    x = 644,608,265,625/511,854
  6. Step 6: Final answer
    x = 1,259,359.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.