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Finding the Third Proportional to 139,026 and 303,535.50

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Solution

The third proportional to 139,026 and 303,535.50 is: 662,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,026 : 303,535.50 = 303,535.50 : x
  2. Step 2: Convert to fraction form
    139,026/303,535.50 = 303,535.50/x
  3. Step 3: Cross multiply
    139,026x = 303,535.50 × 303,535.50
  4. Step 4: Simplify right side
    139,026x = 92,133,799,760.25
  5. Step 5: Solve for x
    x = 92,133,799,760.25/139,026
  6. Step 6: Final answer
    x = 662,709.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.