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Finding the Third Proportional to 684,959 and 1,090,859

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Solution

The third proportional to 684,959 and 1,090,859 is: 1,737,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,959 : 1,090,859 = 1,090,859 : x
  2. Step 2: Convert to fraction form
    684,959/1,090,859 = 1,090,859/x
  3. Step 3: Cross multiply
    684,959x = 1,090,859 × 1,090,859
  4. Step 4: Simplify right side
    684,959x = 1,189,973,357,881
  5. Step 5: Solve for x
    x = 1,189,973,357,881/684,959
  6. Step 6: Final answer
    x = 1,737,291.37

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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.