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Finding the Third Proportional to 207,915 and 273,012

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Solution

The third proportional to 207,915 and 273,012 is: 358,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,915 : 273,012 = 273,012 : x
  2. Step 2: Convert to fraction form
    207,915/273,012 = 273,012/x
  3. Step 3: Cross multiply
    207,915x = 273,012 × 273,012
  4. Step 4: Simplify right side
    207,915x = 74,535,552,144
  5. Step 5: Solve for x
    x = 74,535,552,144/207,915
  6. Step 6: Final answer
    x = 358,490.50

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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.