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Finding the Third Proportional to 454,920 and 696,288

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Solution

The third proportional to 454,920 and 696,288 is: 1,065,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,920 : 696,288 = 696,288 : x
  2. Step 2: Convert to fraction form
    454,920/696,288 = 696,288/x
  3. Step 3: Cross multiply
    454,920x = 696,288 × 696,288
  4. Step 4: Simplify right side
    454,920x = 484,816,978,944
  5. Step 5: Solve for x
    x = 484,816,978,944/454,920
  6. Step 6: Final answer
    x = 1,065,719.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.