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Finding the Third Proportional to 321,670.81 and 696,298.94

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Solution

The third proportional to 321,670.81 and 696,298.94 is: 1,507,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,670.81 : 696,298.94 = 696,298.94 : x
  2. Step 2: Convert to fraction form
    321,670.81/696,298.94 = 696,298.94/x
  3. Step 3: Cross multiply
    321,670.81x = 696,298.94 × 696,298.94
  4. Step 4: Simplify right side
    321,670.81x = 484,832,213,083.54
  5. Step 5: Solve for x
    x = 484,832,213,083.54/321,670.81
  6. Step 6: Final answer
    x = 1,507,231.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.