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Finding the Third Proportional to 146,719.50 and 321,566.25

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Solution

The third proportional to 146,719.50 and 321,566.25 is: 704,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,719.50 : 321,566.25 = 321,566.25 : x
  2. Step 2: Convert to fraction form
    146,719.50/321,566.25 = 321,566.25/x
  3. Step 3: Cross multiply
    146,719.50x = 321,566.25 × 321,566.25
  4. Step 4: Simplify right side
    146,719.50x = 103,404,853,139.06
  5. Step 5: Solve for x
    x = 103,404,853,139.06/146,719.50
  6. Step 6: Final answer
    x = 704,779.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.