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Finding the Third Proportional to 103,440 and 223,208.50

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Solution

The third proportional to 103,440 and 223,208.50 is: 481,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,440 : 223,208.50 = 223,208.50 : x
  2. Step 2: Convert to fraction form
    103,440/223,208.50 = 223,208.50/x
  3. Step 3: Cross multiply
    103,440x = 223,208.50 × 223,208.50
  4. Step 4: Simplify right side
    103,440x = 49,822,034,472.25
  5. Step 5: Solve for x
    x = 49,822,034,472.25/103,440
  6. Step 6: Final answer
    x = 481,651.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.