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Finding the Third Proportional to 292,284 and 465,441.75

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Solution

The third proportional to 292,284 and 465,441.75 is: 741,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284 : 465,441.75 = 465,441.75 : x
  2. Step 2: Convert to fraction form
    292,284/465,441.75 = 465,441.75/x
  3. Step 3: Cross multiply
    292,284x = 465,441.75 × 465,441.75
  4. Step 4: Simplify right side
    292,284x = 216,636,022,643.06
  5. Step 5: Solve for x
    x = 216,636,022,643.06/292,284
  6. Step 6: Final answer
    x = 741,183.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.