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Finding the Third Proportional to 577,878 and 860,697

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Solution

The third proportional to 577,878 and 860,697 is: 1,281,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,878 : 860,697 = 860,697 : x
  2. Step 2: Convert to fraction form
    577,878/860,697 = 860,697/x
  3. Step 3: Cross multiply
    577,878x = 860,697 × 860,697
  4. Step 4: Simplify right side
    577,878x = 740,799,325,809
  5. Step 5: Solve for x
    x = 740,799,325,809/577,878
  6. Step 6: Final answer
    x = 1,281,930.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.