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Finding the Third Proportional to 684,257 and 985,646

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Solution

The third proportional to 684,257 and 985,646 is: 1,419,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,257 : 985,646 = 985,646 : x
  2. Step 2: Convert to fraction form
    684,257/985,646 = 985,646/x
  3. Step 3: Cross multiply
    684,257x = 985,646 × 985,646
  4. Step 4: Simplify right side
    684,257x = 971,498,037,316
  5. Step 5: Solve for x
    x = 971,498,037,316/684,257
  6. Step 6: Final answer
    x = 1,419,785.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.