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Finding the Third Proportional to 55,428 and 133,633.50

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Solution

The third proportional to 55,428 and 133,633.50 is: 322,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,428 : 133,633.50 = 133,633.50 : x
  2. Step 2: Convert to fraction form
    55,428/133,633.50 = 133,633.50/x
  3. Step 3: Cross multiply
    55,428x = 133,633.50 × 133,633.50
  4. Step 4: Simplify right side
    55,428x = 17,857,912,322.25
  5. Step 5: Solve for x
    x = 17,857,912,322.25/55,428
  6. Step 6: Final answer
    x = 322,182.15

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.