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Finding the Third Proportional to 368,116.50 and 802,753.50

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Solution

The third proportional to 368,116.50 and 802,753.50 is: 1,750,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,116.50 : 802,753.50 = 802,753.50 : x
  2. Step 2: Convert to fraction form
    368,116.50/802,753.50 = 802,753.50/x
  3. Step 3: Cross multiply
    368,116.50x = 802,753.50 × 802,753.50
  4. Step 4: Simplify right side
    368,116.50x = 644,413,181,762.25
  5. Step 5: Solve for x
    x = 644,413,181,762.25/368,116.50
  6. Step 6: Final answer
    x = 1,750,568.59

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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.