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Finding the Third Proportional to 274,037 and 430,482

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Solution

The third proportional to 274,037 and 430,482 is: 676,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,037 : 430,482 = 430,482 : x
  2. Step 2: Convert to fraction form
    274,037/430,482 = 430,482/x
  3. Step 3: Cross multiply
    274,037x = 430,482 × 430,482
  4. Step 4: Simplify right side
    274,037x = 185,314,752,324
  5. Step 5: Solve for x
    x = 185,314,752,324/274,037
  6. Step 6: Final answer
    x = 676,239.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.