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Finding the Third Proportional to 144,710.44 and 206,424.56

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Solution

The third proportional to 144,710.44 and 206,424.56 is: 294,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,710.44 : 206,424.56 = 206,424.56 : x
  2. Step 2: Convert to fraction form
    144,710.44/206,424.56 = 206,424.56/x
  3. Step 3: Cross multiply
    144,710.44x = 206,424.56 × 206,424.56
  4. Step 4: Simplify right side
    144,710.44x = 42,611,100,003.32
  5. Step 5: Solve for x
    x = 42,611,100,003.32/144,710.44
  6. Step 6: Final answer
    x = 294,457.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.