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Finding the Third Proportional to 273,423.38 and 428,055.56

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Solution

The third proportional to 273,423.38 and 428,055.56 is: 670,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,423.38 : 428,055.56 = 428,055.56 : x
  2. Step 2: Convert to fraction form
    273,423.38/428,055.56 = 428,055.56/x
  3. Step 3: Cross multiply
    273,423.38x = 428,055.56 × 428,055.56
  4. Step 4: Simplify right side
    273,423.38x = 183,231,564,587.19
  5. Step 5: Solve for x
    x = 183,231,564,587.19/273,423.38
  6. Step 6: Final answer
    x = 670,138.63

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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.