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Finding the Third Proportional to 472,565 and 1,036,990

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Solution

The third proportional to 472,565 and 1,036,990 is: 2,275,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,565 : 1,036,990 = 1,036,990 : x
  2. Step 2: Convert to fraction form
    472,565/1,036,990 = 1,036,990/x
  3. Step 3: Cross multiply
    472,565x = 1,036,990 × 1,036,990
  4. Step 4: Simplify right side
    472,565x = 1,075,348,260,100
  5. Step 5: Solve for x
    x = 1,075,348,260,100/472,565
  6. Step 6: Final answer
    x = 2,275,556.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.