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Finding the Third Proportional to 280,274 and 402,915

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Solution

The third proportional to 280,274 and 402,915 is: 579,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,274 : 402,915 = 402,915 : x
  2. Step 2: Convert to fraction form
    280,274/402,915 = 402,915/x
  3. Step 3: Cross multiply
    280,274x = 402,915 × 402,915
  4. Step 4: Simplify right side
    280,274x = 162,340,497,225
  5. Step 5: Solve for x
    x = 162,340,497,225/280,274
  6. Step 6: Final answer
    x = 579,220.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.