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Finding the Third Proportional to 351,045 and 539,235

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Solution

The third proportional to 351,045 and 539,235 is: 828,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,045 : 539,235 = 539,235 : x
  2. Step 2: Convert to fraction form
    351,045/539,235 = 539,235/x
  3. Step 3: Cross multiply
    351,045x = 539,235 × 539,235
  4. Step 4: Simplify right side
    351,045x = 290,774,385,225
  5. Step 5: Solve for x
    x = 290,774,385,225/351,045
  6. Step 6: Final answer
    x = 828,310.86

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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.