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Finding the Third Proportional to 450,292 and 684,722

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Solution

The third proportional to 450,292 and 684,722 is: 1,041,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,292 : 684,722 = 684,722 : x
  2. Step 2: Convert to fraction form
    450,292/684,722 = 684,722/x
  3. Step 3: Cross multiply
    450,292x = 684,722 × 684,722
  4. Step 4: Simplify right side
    450,292x = 468,844,217,284
  5. Step 5: Solve for x
    x = 468,844,217,284/450,292
  6. Step 6: Final answer
    x = 1,041,200.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.