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Finding the Third Proportional to 723,010 and 1,120,867

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Solution

The third proportional to 723,010 and 1,120,867 is: 1,737,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,010 : 1,120,867 = 1,120,867 : x
  2. Step 2: Convert to fraction form
    723,010/1,120,867 = 1,120,867/x
  3. Step 3: Cross multiply
    723,010x = 1,120,867 × 1,120,867
  4. Step 4: Simplify right side
    723,010x = 1,256,342,831,689
  5. Step 5: Solve for x
    x = 1,256,342,831,689/723,010
  6. Step 6: Final answer
    x = 1,737,656.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.