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Finding the Third Proportional to 511,056 and 744,400.13

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Solution

The third proportional to 511,056 and 744,400.13 is: 1,084,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,056 : 744,400.13 = 744,400.13 : x
  2. Step 2: Convert to fraction form
    511,056/744,400.13 = 744,400.13/x
  3. Step 3: Cross multiply
    511,056x = 744,400.13 × 744,400.13
  4. Step 4: Simplify right side
    511,056x = 554,131,546,100.02
  5. Step 5: Solve for x
    x = 554,131,546,100.02/511,056
  6. Step 6: Final answer
    x = 1,084,287.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.