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Finding the Third Proportional to 608,749 and 816,621

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Solution

The third proportional to 608,749 and 816,621 is: 1,095,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,749 : 816,621 = 816,621 : x
  2. Step 2: Convert to fraction form
    608,749/816,621 = 816,621/x
  3. Step 3: Cross multiply
    608,749x = 816,621 × 816,621
  4. Step 4: Simplify right side
    608,749x = 666,869,857,641
  5. Step 5: Solve for x
    x = 666,869,857,641/608,749
  6. Step 6: Final answer
    x = 1,095,475.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.