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Finding the Third Proportional to 450,279 and 684,702

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Solution

The third proportional to 450,279 and 684,702 is: 1,041,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,279 : 684,702 = 684,702 : x
  2. Step 2: Convert to fraction form
    450,279/684,702 = 684,702/x
  3. Step 3: Cross multiply
    450,279x = 684,702 × 684,702
  4. Step 4: Simplify right side
    450,279x = 468,816,828,804
  5. Step 5: Solve for x
    x = 468,816,828,804/450,279
  6. Step 6: Final answer
    x = 1,041,169.65

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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.