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Finding the Third Proportional to 103,663 and 140,660.50

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Solution

The third proportional to 103,663 and 140,660.50 is: 190,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663 : 140,660.50 = 140,660.50 : x
  2. Step 2: Convert to fraction form
    103,663/140,660.50 = 140,660.50/x
  3. Step 3: Cross multiply
    103,663x = 140,660.50 × 140,660.50
  4. Step 4: Simplify right side
    103,663x = 19,785,376,260.25
  5. Step 5: Solve for x
    x = 19,785,376,260.25/103,663
  6. Step 6: Final answer
    x = 190,862.47

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.