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Finding the Third Proportional to 56,439 and 120,378

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Solution

The third proportional to 56,439 and 120,378 is: 256,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,439 : 120,378 = 120,378 : x
  2. Step 2: Convert to fraction form
    56,439/120,378 = 120,378/x
  3. Step 3: Cross multiply
    56,439x = 120,378 × 120,378
  4. Step 4: Simplify right side
    56,439x = 14,490,862,884
  5. Step 5: Solve for x
    x = 14,490,862,884/56,439
  6. Step 6: Final answer
    x = 256,752.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.