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Finding the Third Proportional to 434,648 and 664,888

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Solution

The third proportional to 434,648 and 664,888 is: 1,017,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,648 : 664,888 = 664,888 : x
  2. Step 2: Convert to fraction form
    434,648/664,888 = 664,888/x
  3. Step 3: Cross multiply
    434,648x = 664,888 × 664,888
  4. Step 4: Simplify right side
    434,648x = 442,076,052,544
  5. Step 5: Solve for x
    x = 442,076,052,544/434,648
  6. Step 6: Final answer
    x = 1,017,089.81

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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.