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Finding the Third Proportional to 450,295 and 684,731

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Solution

The third proportional to 450,295 and 684,731 is: 1,041,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,295 : 684,731 = 684,731 : x
  2. Step 2: Convert to fraction form
    450,295/684,731 = 684,731/x
  3. Step 3: Cross multiply
    450,295x = 684,731 × 684,731
  4. Step 4: Simplify right side
    450,295x = 468,856,542,361
  5. Step 5: Solve for x
    x = 468,856,542,361/450,295
  6. Step 6: Final answer
    x = 1,041,220.85

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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.