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Finding the Third Proportional to 280,512 and 603,792

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Solution

The third proportional to 280,512 and 603,792 is: 1,299,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,512 : 603,792 = 603,792 : x
  2. Step 2: Convert to fraction form
    280,512/603,792 = 603,792/x
  3. Step 3: Cross multiply
    280,512x = 603,792 × 603,792
  4. Step 4: Simplify right side
    280,512x = 364,564,779,264
  5. Step 5: Solve for x
    x = 364,564,779,264/280,512
  6. Step 6: Final answer
    x = 1,299,640.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.