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Finding the Third Proportional to 280,714 and 431,455

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Solution

The third proportional to 280,714 and 431,455 is: 663,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,714 : 431,455 = 431,455 : x
  2. Step 2: Convert to fraction form
    280,714/431,455 = 431,455/x
  3. Step 3: Cross multiply
    280,714x = 431,455 × 431,455
  4. Step 4: Simplify right side
    280,714x = 186,153,417,025
  5. Step 5: Solve for x
    x = 186,153,417,025/280,714
  6. Step 6: Final answer
    x = 663,142.62

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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.