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Finding the Third Proportional to 327,303 and 507,980

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Solution

The third proportional to 327,303 and 507,980 is: 788,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,303 : 507,980 = 507,980 : x
  2. Step 2: Convert to fraction form
    327,303/507,980 = 507,980/x
  3. Step 3: Cross multiply
    327,303x = 507,980 × 507,980
  4. Step 4: Simplify right side
    327,303x = 258,043,680,400
  5. Step 5: Solve for x
    x = 258,043,680,400/327,303
  6. Step 6: Final answer
    x = 788,393.87

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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.