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Finding the Third Proportional to 684,921 and 1,090,806

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Solution

The third proportional to 684,921 and 1,090,806 is: 1,737,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,921 : 1,090,806 = 1,090,806 : x
  2. Step 2: Convert to fraction form
    684,921/1,090,806 = 1,090,806/x
  3. Step 3: Cross multiply
    684,921x = 1,090,806 × 1,090,806
  4. Step 4: Simplify right side
    684,921x = 1,189,857,729,636
  5. Step 5: Solve for x
    x = 1,189,857,729,636/684,921
  6. Step 6: Final answer
    x = 1,737,218.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.