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Finding the Third Proportional to 288,767 and 446,273

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Solution

The third proportional to 288,767 and 446,273 is: 689,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,767 : 446,273 = 446,273 : x
  2. Step 2: Convert to fraction form
    288,767/446,273 = 446,273/x
  3. Step 3: Cross multiply
    288,767x = 446,273 × 446,273
  4. Step 4: Simplify right side
    288,767x = 199,159,590,529
  5. Step 5: Solve for x
    x = 199,159,590,529/288,767
  6. Step 6: Final answer
    x = 689,689.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.