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Finding the Third Proportional to 274,024.27 and 430,428.94

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Solution

The third proportional to 274,024.27 and 430,428.94 is: 676,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,024.27 : 430,428.94 = 430,428.94 : x
  2. Step 2: Convert to fraction form
    274,024.27/430,428.94 = 430,428.94/x
  3. Step 3: Cross multiply
    274,024.27x = 430,428.94 × 430,428.94
  4. Step 4: Simplify right side
    274,024.27x = 185,269,070,237.38
  5. Step 5: Solve for x
    x = 185,269,070,237.38/274,024.27
  6. Step 6: Final answer
    x = 676,104.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.