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Finding the Third Proportional to 280,827 and 433,674

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Solution

The third proportional to 280,827 and 433,674 is: 669,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,827 : 433,674 = 433,674 : x
  2. Step 2: Convert to fraction form
    280,827/433,674 = 433,674/x
  3. Step 3: Cross multiply
    280,827x = 433,674 × 433,674
  4. Step 4: Simplify right side
    280,827x = 188,073,138,276
  5. Step 5: Solve for x
    x = 188,073,138,276/280,827
  6. Step 6: Final answer
    x = 669,711.74

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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.