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Finding the Third Proportional to 139,598 and 305,270

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Solution

The third proportional to 139,598 and 305,270 is: 667,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,598 : 305,270 = 305,270 : x
  2. Step 2: Convert to fraction form
    139,598/305,270 = 305,270/x
  3. Step 3: Cross multiply
    139,598x = 305,270 × 305,270
  4. Step 4: Simplify right side
    139,598x = 93,189,772,900
  5. Step 5: Solve for x
    x = 93,189,772,900/139,598
  6. Step 6: Final answer
    x = 667,558.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.