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Finding the Third Proportional to 72,178 and 113,383

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Solution

The third proportional to 72,178 and 113,383 is: 178,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,178 : 113,383 = 113,383 : x
  2. Step 2: Convert to fraction form
    72,178/113,383 = 113,383/x
  3. Step 3: Cross multiply
    72,178x = 113,383 × 113,383
  4. Step 4: Simplify right side
    72,178x = 12,855,704,689
  5. Step 5: Solve for x
    x = 12,855,704,689/72,178
  6. Step 6: Final answer
    x = 178,111.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.