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Finding the Third Proportional to 280,244 and 423,273

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Solution

The third proportional to 280,244 and 423,273 is: 639,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,244 : 423,273 = 423,273 : x
  2. Step 2: Convert to fraction form
    280,244/423,273 = 423,273/x
  3. Step 3: Cross multiply
    280,244x = 423,273 × 423,273
  4. Step 4: Simplify right side
    280,244x = 179,160,032,529
  5. Step 5: Solve for x
    x = 179,160,032,529/280,244
  6. Step 6: Final answer
    x = 639,300.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.