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Finding the Third Proportional to 55,368 and 129,987

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Solution

The third proportional to 55,368 and 129,987 is: 305,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,368 : 129,987 = 129,987 : x
  2. Step 2: Convert to fraction form
    55,368/129,987 = 129,987/x
  3. Step 3: Cross multiply
    55,368x = 129,987 × 129,987
  4. Step 4: Simplify right side
    55,368x = 16,896,620,169
  5. Step 5: Solve for x
    x = 16,896,620,169/55,368
  6. Step 6: Final answer
    x = 305,169.41

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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.