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Finding the Third Proportional to 471,656 and 721,260

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Solution

The third proportional to 471,656 and 721,260 is: 1,102,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,656 : 721,260 = 721,260 : x
  2. Step 2: Convert to fraction form
    471,656/721,260 = 721,260/x
  3. Step 3: Cross multiply
    471,656x = 721,260 × 721,260
  4. Step 4: Simplify right side
    471,656x = 520,215,987,600
  5. Step 5: Solve for x
    x = 520,215,987,600/471,656
  6. Step 6: Final answer
    x = 1,102,956.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.