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Finding the Third Proportional to 280,374 and 403,016

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Solution

The third proportional to 280,374 and 403,016 is: 579,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,374 : 403,016 = 403,016 : x
  2. Step 2: Convert to fraction form
    280,374/403,016 = 403,016/x
  3. Step 3: Cross multiply
    280,374x = 403,016 × 403,016
  4. Step 4: Simplify right side
    280,374x = 162,421,896,256
  5. Step 5: Solve for x
    x = 162,421,896,256/280,374
  6. Step 6: Final answer
    x = 579,304.42

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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.