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Finding the Third Proportional to 377,892 and 528,318

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Solution

The third proportional to 377,892 and 528,318 is: 738,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,892 : 528,318 = 528,318 : x
  2. Step 2: Convert to fraction form
    377,892/528,318 = 528,318/x
  3. Step 3: Cross multiply
    377,892x = 528,318 × 528,318
  4. Step 4: Simplify right side
    377,892x = 279,119,909,124
  5. Step 5: Solve for x
    x = 279,119,909,124/377,892
  6. Step 6: Final answer
    x = 738,623.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.