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Finding the Third Proportional to 156,576 and 349,009

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Solution

The third proportional to 156,576 and 349,009 is: 777,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,576 : 349,009 = 349,009 : x
  2. Step 2: Convert to fraction form
    156,576/349,009 = 349,009/x
  3. Step 3: Cross multiply
    156,576x = 349,009 × 349,009
  4. Step 4: Simplify right side
    156,576x = 121,807,282,081
  5. Step 5: Solve for x
    x = 121,807,282,081/156,576
  6. Step 6: Final answer
    x = 777,943.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.