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Finding the Third Proportional to 511,851 and 802,869.75

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Solution

The third proportional to 511,851 and 802,869.75 is: 1,259,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,851 : 802,869.75 = 802,869.75 : x
  2. Step 2: Convert to fraction form
    511,851/802,869.75 = 802,869.75/x
  3. Step 3: Cross multiply
    511,851x = 802,869.75 × 802,869.75
  4. Step 4: Simplify right side
    511,851x = 644,599,835,465.06
  5. Step 5: Solve for x
    x = 644,599,835,465.06/511,851
  6. Step 6: Final answer
    x = 1,259,350.54

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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.