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Finding the Third Proportional to 72,056 and 109,076

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Solution

The third proportional to 72,056 and 109,076 is: 165,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,056 : 109,076 = 109,076 : x
  2. Step 2: Convert to fraction form
    72,056/109,076 = 109,076/x
  3. Step 3: Cross multiply
    72,056x = 109,076 × 109,076
  4. Step 4: Simplify right side
    72,056x = 11,897,573,776
  5. Step 5: Solve for x
    x = 11,897,573,776/72,056
  6. Step 6: Final answer
    x = 165,115.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.