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Finding the Third Proportional to 128,376 and 268,416

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Solution

The third proportional to 128,376 and 268,416 is: 561,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,376 : 268,416 = 268,416 : x
  2. Step 2: Convert to fraction form
    128,376/268,416 = 268,416/x
  3. Step 3: Cross multiply
    128,376x = 268,416 × 268,416
  4. Step 4: Simplify right side
    128,376x = 72,047,149,056
  5. Step 5: Solve for x
    x = 72,047,149,056/128,376
  6. Step 6: Final answer
    x = 561,219.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.