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Finding the Third Proportional to 180,254 and 280,569

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Solution

The third proportional to 180,254 and 280,569 is: 436,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,254 : 280,569 = 280,569 : x
  2. Step 2: Convert to fraction form
    180,254/280,569 = 280,569/x
  3. Step 3: Cross multiply
    180,254x = 280,569 × 280,569
  4. Step 4: Simplify right side
    180,254x = 78,718,963,761
  5. Step 5: Solve for x
    x = 78,718,963,761/180,254
  6. Step 6: Final answer
    x = 436,711.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.