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Finding the Third Proportional to 128,871 and 283,905

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Solution

The third proportional to 128,871 and 283,905 is: 625,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,871 : 283,905 = 283,905 : x
  2. Step 2: Convert to fraction form
    128,871/283,905 = 283,905/x
  3. Step 3: Cross multiply
    128,871x = 283,905 × 283,905
  4. Step 4: Simplify right side
    128,871x = 80,602,049,025
  5. Step 5: Solve for x
    x = 80,602,049,025/128,871
  6. Step 6: Final answer
    x = 625,447.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.