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Finding the Third Proportional to 102,805.50 and 153,355.50

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Solution

The third proportional to 102,805.50 and 153,355.50 is: 228,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,805.50 : 153,355.50 = 153,355.50 : x
  2. Step 2: Convert to fraction form
    102,805.50/153,355.50 = 153,355.50/x
  3. Step 3: Cross multiply
    102,805.50x = 153,355.50 × 153,355.50
  4. Step 4: Simplify right side
    102,805.50x = 23,517,909,380.25
  5. Step 5: Solve for x
    x = 23,517,909,380.25/102,805.50
  6. Step 6: Final answer
    x = 228,761.20

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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.