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Finding the Third Proportional to 319,566 and 696,330

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Solution

The third proportional to 319,566 and 696,330 is: 1,517,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,566 : 696,330 = 696,330 : x
  2. Step 2: Convert to fraction form
    319,566/696,330 = 696,330/x
  3. Step 3: Cross multiply
    319,566x = 696,330 × 696,330
  4. Step 4: Simplify right side
    319,566x = 484,875,468,900
  5. Step 5: Solve for x
    x = 484,875,468,900/319,566
  6. Step 6: Final answer
    x = 1,517,293.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.