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Finding the Third Proportional to 180,564 and 279,446

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Solution

The third proportional to 180,564 and 279,446 is: 432,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,564 : 279,446 = 279,446 : x
  2. Step 2: Convert to fraction form
    180,564/279,446 = 279,446/x
  3. Step 3: Cross multiply
    180,564x = 279,446 × 279,446
  4. Step 4: Simplify right side
    180,564x = 78,090,066,916
  5. Step 5: Solve for x
    x = 78,090,066,916/180,564
  6. Step 6: Final answer
    x = 432,478.61

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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.