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Finding the Third Proportional to 280,416 and 611,584

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Solution

The third proportional to 280,416 and 611,584 is: 1,333,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,416 : 611,584 = 611,584 : x
  2. Step 2: Convert to fraction form
    280,416/611,584 = 611,584/x
  3. Step 3: Cross multiply
    280,416x = 611,584 × 611,584
  4. Step 4: Simplify right side
    280,416x = 374,034,989,056
  5. Step 5: Solve for x
    x = 374,034,989,056/280,416
  6. Step 6: Final answer
    x = 1,333,857.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.