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Finding the Third Proportional to 327,309 and 507,989

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Solution

The third proportional to 327,309 and 507,989 is: 788,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,309 : 507,989 = 507,989 : x
  2. Step 2: Convert to fraction form
    327,309/507,989 = 507,989/x
  3. Step 3: Cross multiply
    327,309x = 507,989 × 507,989
  4. Step 4: Simplify right side
    327,309x = 258,052,824,121
  5. Step 5: Solve for x
    x = 258,052,824,121/327,309
  6. Step 6: Final answer
    x = 788,407.36

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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.