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Finding the Third Proportional to 280,344 and 402,982

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Solution

The third proportional to 280,344 and 402,982 is: 579,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,344 : 402,982 = 402,982 : x
  2. Step 2: Convert to fraction form
    280,344/402,982 = 402,982/x
  3. Step 3: Cross multiply
    280,344x = 402,982 × 402,982
  4. Step 4: Simplify right side
    280,344x = 162,394,492,324
  5. Step 5: Solve for x
    x = 162,394,492,324/280,344
  6. Step 6: Final answer
    x = 579,268.66

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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.