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Finding the Third Proportional to 447,152 and 697,952

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Solution

The third proportional to 447,152 and 697,952 is: 1,089,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,152 : 697,952 = 697,952 : x
  2. Step 2: Convert to fraction form
    447,152/697,952 = 697,952/x
  3. Step 3: Cross multiply
    447,152x = 697,952 × 697,952
  4. Step 4: Simplify right side
    447,152x = 487,136,994,304
  5. Step 5: Solve for x
    x = 487,136,994,304/447,152
  6. Step 6: Final answer
    x = 1,089,421.48

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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.