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Finding the Third Proportional to 180,883.50 and 392,905.50

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Solution

The third proportional to 180,883.50 and 392,905.50 is: 853,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,883.50 : 392,905.50 = 392,905.50 : x
  2. Step 2: Convert to fraction form
    180,883.50/392,905.50 = 392,905.50/x
  3. Step 3: Cross multiply
    180,883.50x = 392,905.50 × 392,905.50
  4. Step 4: Simplify right side
    180,883.50x = 154,374,731,930.25
  5. Step 5: Solve for x
    x = 154,374,731,930.25/180,883.50
  6. Step 6: Final answer
    x = 853,448.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.