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Finding the Third Proportional to 28,871 and 43,307

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Solution

The third proportional to 28,871 and 43,307 is: 64,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,871 : 43,307 = 43,307 : x
  2. Step 2: Convert to fraction form
    28,871/43,307 = 43,307/x
  3. Step 3: Cross multiply
    28,871x = 43,307 × 43,307
  4. Step 4: Simplify right side
    28,871x = 1,875,496,249
  5. Step 5: Solve for x
    x = 1,875,496,249/28,871
  6. Step 6: Final answer
    x = 64,961.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.