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Finding the Third Proportional to 328,214 and 772,745

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Solution

The third proportional to 328,214 and 772,745 is: 1,819,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,214 : 772,745 = 772,745 : x
  2. Step 2: Convert to fraction form
    328,214/772,745 = 772,745/x
  3. Step 3: Cross multiply
    328,214x = 772,745 × 772,745
  4. Step 4: Simplify right side
    328,214x = 597,134,835,025
  5. Step 5: Solve for x
    x = 597,134,835,025/328,214
  6. Step 6: Final answer
    x = 1,819,346.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.