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Finding the Third Proportional to 74,633 and 109,763

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Solution

The third proportional to 74,633 and 109,763 is: 161,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,633 : 109,763 = 109,763 : x
  2. Step 2: Convert to fraction form
    74,633/109,763 = 109,763/x
  3. Step 3: Cross multiply
    74,633x = 109,763 × 109,763
  4. Step 4: Simplify right side
    74,633x = 12,047,916,169
  5. Step 5: Solve for x
    x = 12,047,916,169/74,633
  6. Step 6: Final answer
    x = 161,428.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.