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Finding the Third Proportional to 72,203 and 107,706

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Solution

The third proportional to 72,203 and 107,706 is: 160,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,203 : 107,706 = 107,706 : x
  2. Step 2: Convert to fraction form
    72,203/107,706 = 107,706/x
  3. Step 3: Cross multiply
    72,203x = 107,706 × 107,706
  4. Step 4: Simplify right side
    72,203x = 11,600,582,436
  5. Step 5: Solve for x
    x = 11,600,582,436/72,203
  6. Step 6: Final answer
    x = 160,666.21

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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.