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Finding the Third Proportional to 405,116.25 and 883,128

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Solution

The third proportional to 405,116.25 and 883,128 is: 1,925,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,116.25 : 883,128 = 883,128 : x
  2. Step 2: Convert to fraction form
    405,116.25/883,128 = 883,128/x
  3. Step 3: Cross multiply
    405,116.25x = 883,128 × 883,128
  4. Step 4: Simplify right side
    405,116.25x = 779,915,064,384
  5. Step 5: Solve for x
    x = 779,915,064,384/405,116.25
  6. Step 6: Final answer
    x = 1,925,163.62

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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.