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Finding the Third Proportional to 55,302 and 129,871

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Solution

The third proportional to 55,302 and 129,871 is: 304,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302 : 129,871 = 129,871 : x
  2. Step 2: Convert to fraction form
    55,302/129,871 = 129,871/x
  3. Step 3: Cross multiply
    55,302x = 129,871 × 129,871
  4. Step 4: Simplify right side
    55,302x = 16,866,476,641
  5. Step 5: Solve for x
    x = 16,866,476,641/55,302
  6. Step 6: Final answer
    x = 304,988.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.