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Finding the Third Proportional to 253,710 and 557,642

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Solution

The third proportional to 253,710 and 557,642 is: 1,225,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,710 : 557,642 = 557,642 : x
  2. Step 2: Convert to fraction form
    253,710/557,642 = 557,642/x
  3. Step 3: Cross multiply
    253,710x = 557,642 × 557,642
  4. Step 4: Simplify right side
    253,710x = 310,964,600,164
  5. Step 5: Solve for x
    x = 310,964,600,164/253,710
  6. Step 6: Final answer
    x = 1,225,669.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.