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Finding the Third Proportional to 256,422 and 561,102

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Solution

The third proportional to 256,422 and 561,102 is: 1,227,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,422 : 561,102 = 561,102 : x
  2. Step 2: Convert to fraction form
    256,422/561,102 = 561,102/x
  3. Step 3: Cross multiply
    256,422x = 561,102 × 561,102
  4. Step 4: Simplify right side
    256,422x = 314,835,454,404
  5. Step 5: Solve for x
    x = 314,835,454,404/256,422
  6. Step 6: Final answer
    x = 1,227,802.04

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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.