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Finding the Third Proportional to 280,106 and 423,495

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Solution

The third proportional to 280,106 and 423,495 is: 640,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,106 : 423,495 = 423,495 : x
  2. Step 2: Convert to fraction form
    280,106/423,495 = 423,495/x
  3. Step 3: Cross multiply
    280,106x = 423,495 × 423,495
  4. Step 4: Simplify right side
    280,106x = 179,348,015,025
  5. Step 5: Solve for x
    x = 179,348,015,025/280,106
  6. Step 6: Final answer
    x = 640,286.23

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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.