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Finding the Third Proportional to 233,304.75 and 490,110.75

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Solution

The third proportional to 233,304.75 and 490,110.75 is: 1,029,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,304.75 : 490,110.75 = 490,110.75 : x
  2. Step 2: Convert to fraction form
    233,304.75/490,110.75 = 490,110.75/x
  3. Step 3: Cross multiply
    233,304.75x = 490,110.75 × 490,110.75
  4. Step 4: Simplify right side
    233,304.75x = 240,208,547,265.56
  5. Step 5: Solve for x
    x = 240,208,547,265.56/233,304.75
  6. Step 6: Final answer
    x = 1,029,591.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.