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Finding the Third Proportional to 321,036 and 759,214.50

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Solution

The third proportional to 321,036 and 759,214.50 is: 1,795,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,036 : 759,214.50 = 759,214.50 : x
  2. Step 2: Convert to fraction form
    321,036/759,214.50 = 759,214.50/x
  3. Step 3: Cross multiply
    321,036x = 759,214.50 × 759,214.50
  4. Step 4: Simplify right side
    321,036x = 576,406,657,010.25
  5. Step 5: Solve for x
    x = 576,406,657,010.25/321,036
  6. Step 6: Final answer
    x = 1,795,458.01

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.