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Finding the Third Proportional to 139,410 and 305,502

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Solution

The third proportional to 139,410 and 305,502 is: 669,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,410 : 305,502 = 305,502 : x
  2. Step 2: Convert to fraction form
    139,410/305,502 = 305,502/x
  3. Step 3: Cross multiply
    139,410x = 305,502 × 305,502
  4. Step 4: Simplify right side
    139,410x = 93,331,472,004
  5. Step 5: Solve for x
    x = 93,331,472,004/139,410
  6. Step 6: Final answer
    x = 669,474.73

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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.