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Finding the Third Proportional to 280,714 and 431,482

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Solution

The third proportional to 280,714 and 431,482 is: 663,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,714 : 431,482 = 431,482 : x
  2. Step 2: Convert to fraction form
    280,714/431,482 = 431,482/x
  3. Step 3: Cross multiply
    280,714x = 431,482 × 431,482
  4. Step 4: Simplify right side
    280,714x = 186,176,716,324
  5. Step 5: Solve for x
    x = 186,176,716,324/280,714
  6. Step 6: Final answer
    x = 663,225.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.