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Finding the Third Proportional to 21,871 and 45,297

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Solution

The third proportional to 21,871 and 45,297 is: 93,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871 : 45,297 = 45,297 : x
  2. Step 2: Convert to fraction form
    21,871/45,297 = 45,297/x
  3. Step 3: Cross multiply
    21,871x = 45,297 × 45,297
  4. Step 4: Simplify right side
    21,871x = 2,051,818,209
  5. Step 5: Solve for x
    x = 2,051,818,209/21,871
  6. Step 6: Final answer
    x = 93,814.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.