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Finding the Third Proportional to 447,156 and 697,958

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Solution

The third proportional to 447,156 and 697,958 is: 1,089,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,156 : 697,958 = 697,958 : x
  2. Step 2: Convert to fraction form
    447,156/697,958 = 697,958/x
  3. Step 3: Cross multiply
    447,156x = 697,958 × 697,958
  4. Step 4: Simplify right side
    447,156x = 487,145,369,764
  5. Step 5: Solve for x
    x = 487,145,369,764/447,156
  6. Step 6: Final answer
    x = 1,089,430.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.