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Finding the Third Proportional to 357,939 and 738,477

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Solution

The third proportional to 357,939 and 738,477 is: 1,523,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,939 : 738,477 = 738,477 : x
  2. Step 2: Convert to fraction form
    357,939/738,477 = 738,477/x
  3. Step 3: Cross multiply
    357,939x = 738,477 × 738,477
  4. Step 4: Simplify right side
    357,939x = 545,348,279,529
  5. Step 5: Solve for x
    x = 545,348,279,529/357,939
  6. Step 6: Final answer
    x = 1,523,578.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.