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Finding the Third Proportional to 320,259 and 741,319.50

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Solution

The third proportional to 320,259 and 741,319.50 is: 1,715,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,259 : 741,319.50 = 741,319.50 : x
  2. Step 2: Convert to fraction form
    320,259/741,319.50 = 741,319.50/x
  3. Step 3: Cross multiply
    320,259x = 741,319.50 × 741,319.50
  4. Step 4: Simplify right side
    320,259x = 549,554,601,080.25
  5. Step 5: Solve for x
    x = 549,554,601,080.25/320,259
  6. Step 6: Final answer
    x = 1,715,969.27

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.