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Finding the Third Proportional to 351,720 and 545,427

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Solution

The third proportional to 351,720 and 545,427 is: 845,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,720 : 545,427 = 545,427 : x
  2. Step 2: Convert to fraction form
    351,720/545,427 = 545,427/x
  3. Step 3: Cross multiply
    351,720x = 545,427 × 545,427
  4. Step 4: Simplify right side
    351,720x = 297,490,612,329
  5. Step 5: Solve for x
    x = 297,490,612,329/351,720
  6. Step 6: Final answer
    x = 845,816.59

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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.