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Finding the Third Proportional to 473,256 and 1,033,848

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Solution

The third proportional to 473,256 and 1,033,848 is: 2,258,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,256 : 1,033,848 = 1,033,848 : x
  2. Step 2: Convert to fraction form
    473,256/1,033,848 = 1,033,848/x
  3. Step 3: Cross multiply
    473,256x = 1,033,848 × 1,033,848
  4. Step 4: Simplify right side
    473,256x = 1,068,841,687,104
  5. Step 5: Solve for x
    x = 1,068,841,687,104/473,256
  6. Step 6: Final answer
    x = 2,258,485.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.