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Finding the Third Proportional to 250,139 and 393,029

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Solution

The third proportional to 250,139 and 393,029 is: 617,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,139 : 393,029 = 393,029 : x
  2. Step 2: Convert to fraction form
    250,139/393,029 = 393,029/x
  3. Step 3: Cross multiply
    250,139x = 393,029 × 393,029
  4. Step 4: Simplify right side
    250,139x = 154,471,794,841
  5. Step 5: Solve for x
    x = 154,471,794,841/250,139
  6. Step 6: Final answer
    x = 617,543.82

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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.