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Finding the Third Proportional to 256,424 and 561,106

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Solution

The third proportional to 256,424 and 561,106 is: 1,227,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,424 : 561,106 = 561,106 : x
  2. Step 2: Convert to fraction form
    256,424/561,106 = 561,106/x
  3. Step 3: Cross multiply
    256,424x = 561,106 × 561,106
  4. Step 4: Simplify right side
    256,424x = 314,839,943,236
  5. Step 5: Solve for x
    x = 314,839,943,236/256,424
  6. Step 6: Final answer
    x = 1,227,809.97

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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.