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Finding the Third Proportional to 83,402 and 122,898

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Solution

The third proportional to 83,402 and 122,898 is: 181,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,402 : 122,898 = 122,898 : x
  2. Step 2: Convert to fraction form
    83,402/122,898 = 122,898/x
  3. Step 3: Cross multiply
    83,402x = 122,898 × 122,898
  4. Step 4: Simplify right side
    83,402x = 15,103,918,404
  5. Step 5: Solve for x
    x = 15,103,918,404/83,402
  6. Step 6: Final answer
    x = 181,097.80

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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.