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Finding the Third Proportional to 351,432 and 535,419

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Solution

The third proportional to 351,432 and 535,419 is: 815,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,432 : 535,419 = 535,419 : x
  2. Step 2: Convert to fraction form
    351,432/535,419 = 535,419/x
  3. Step 3: Cross multiply
    351,432x = 535,419 × 535,419
  4. Step 4: Simplify right side
    351,432x = 286,673,505,561
  5. Step 5: Solve for x
    x = 286,673,505,561/351,432
  6. Step 6: Final answer
    x = 815,729.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.