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Finding the Third Proportional to 102,991.50 and 155,938.50

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Solution

The third proportional to 102,991.50 and 155,938.50 is: 236,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991.50 : 155,938.50 = 155,938.50 : x
  2. Step 2: Convert to fraction form
    102,991.50/155,938.50 = 155,938.50/x
  3. Step 3: Cross multiply
    102,991.50x = 155,938.50 × 155,938.50
  4. Step 4: Simplify right side
    102,991.50x = 24,316,815,782.25
  5. Step 5: Solve for x
    x = 24,316,815,782.25/102,991.50
  6. Step 6: Final answer
    x = 236,105.07

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Why These Related Problems?

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