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Finding the Third Proportional to 273,434 and 428,072

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Solution

The third proportional to 273,434 and 428,072 is: 670,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,434 : 428,072 = 428,072 : x
  2. Step 2: Convert to fraction form
    273,434/428,072 = 428,072/x
  3. Step 3: Cross multiply
    273,434x = 428,072 × 428,072
  4. Step 4: Simplify right side
    273,434x = 183,245,637,184
  5. Step 5: Solve for x
    x = 183,245,637,184/273,434
  6. Step 6: Final answer
    x = 670,164.05

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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.