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Finding the Third Proportional to 207,913 and 273,009

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Solution

The third proportional to 207,913 and 273,009 is: 358,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,913 : 273,009 = 273,009 : x
  2. Step 2: Convert to fraction form
    207,913/273,009 = 273,009/x
  3. Step 3: Cross multiply
    207,913x = 273,009 × 273,009
  4. Step 4: Simplify right side
    207,913x = 74,533,914,081
  5. Step 5: Solve for x
    x = 74,533,914,081/207,913
  6. Step 6: Final answer
    x = 358,486.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.