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Finding the Third Proportional to 280,178 and 377,481

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Solution

The third proportional to 280,178 and 377,481 is: 508,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,178 : 377,481 = 377,481 : x
  2. Step 2: Convert to fraction form
    280,178/377,481 = 377,481/x
  3. Step 3: Cross multiply
    280,178x = 377,481 × 377,481
  4. Step 4: Simplify right side
    280,178x = 142,491,905,361
  5. Step 5: Solve for x
    x = 142,491,905,361/280,178
  6. Step 6: Final answer
    x = 508,576.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.