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Finding the Third Proportional to 280,596 and 611,520

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Solution

The third proportional to 280,596 and 611,520 is: 1,332,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,596 : 611,520 = 611,520 : x
  2. Step 2: Convert to fraction form
    280,596/611,520 = 611,520/x
  3. Step 3: Cross multiply
    280,596x = 611,520 × 611,520
  4. Step 4: Simplify right side
    280,596x = 373,956,710,400
  5. Step 5: Solve for x
    x = 373,956,710,400/280,596
  6. Step 6: Final answer
    x = 1,332,722.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.