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Finding the Third Proportional to 72,440 and 107,892

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Solution

The third proportional to 72,440 and 107,892 is: 160,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,440 : 107,892 = 107,892 : x
  2. Step 2: Convert to fraction form
    72,440/107,892 = 107,892/x
  3. Step 3: Cross multiply
    72,440x = 107,892 × 107,892
  4. Step 4: Simplify right side
    72,440x = 11,640,683,664
  5. Step 5: Solve for x
    x = 11,640,683,664/72,440
  6. Step 6: Final answer
    x = 160,694.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.