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Finding the Third Proportional to 577,325 and 859,831

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Solution

The third proportional to 577,325 and 859,831 is: 1,280,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,325 : 859,831 = 859,831 : x
  2. Step 2: Convert to fraction form
    577,325/859,831 = 859,831/x
  3. Step 3: Cross multiply
    577,325x = 859,831 × 859,831
  4. Step 4: Simplify right side
    577,325x = 739,309,348,561
  5. Step 5: Solve for x
    x = 739,309,348,561/577,325
  6. Step 6: Final answer
    x = 1,280,577.40

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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.