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Finding the Third Proportional to 327,458 and 507,171

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Solution

The third proportional to 327,458 and 507,171 is: 785,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,458 : 507,171 = 507,171 : x
  2. Step 2: Convert to fraction form
    327,458/507,171 = 507,171/x
  3. Step 3: Cross multiply
    327,458x = 507,171 × 507,171
  4. Step 4: Simplify right side
    327,458x = 257,222,423,241
  5. Step 5: Solve for x
    x = 257,222,423,241/327,458
  6. Step 6: Final answer
    x = 785,512.72

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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.