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Finding the Third Proportional to 328,578 and 507,375

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Solution

The third proportional to 328,578 and 507,375 is: 783,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,578 : 507,375 = 507,375 : x
  2. Step 2: Convert to fraction form
    328,578/507,375 = 507,375/x
  3. Step 3: Cross multiply
    328,578x = 507,375 × 507,375
  4. Step 4: Simplify right side
    328,578x = 257,429,390,625
  5. Step 5: Solve for x
    x = 257,429,390,625/328,578
  6. Step 6: Final answer
    x = 783,465.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.