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Finding the Third Proportional to 327,307 and 507,986

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Solution

The third proportional to 327,307 and 507,986 is: 788,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,307 : 507,986 = 507,986 : x
  2. Step 2: Convert to fraction form
    327,307/507,986 = 507,986/x
  3. Step 3: Cross multiply
    327,307x = 507,986 × 507,986
  4. Step 4: Simplify right side
    327,307x = 258,049,776,196
  5. Step 5: Solve for x
    x = 258,049,776,196/327,307
  6. Step 6: Final answer
    x = 788,402.86

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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.