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Finding the Third Proportional to 450,516 and 800,871

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Solution

The third proportional to 450,516 and 800,871 is: 1,423,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,516 : 800,871 = 800,871 : x
  2. Step 2: Convert to fraction form
    450,516/800,871 = 800,871/x
  3. Step 3: Cross multiply
    450,516x = 800,871 × 800,871
  4. Step 4: Simplify right side
    450,516x = 641,394,358,641
  5. Step 5: Solve for x
    x = 641,394,358,641/450,516
  6. Step 6: Final answer
    x = 1,423,688.30

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.