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Finding the Third Proportional to 260,424 and 557,712

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Solution

The third proportional to 260,424 and 557,712 is: 1,194,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,424 : 557,712 = 557,712 : x
  2. Step 2: Convert to fraction form
    260,424/557,712 = 557,712/x
  3. Step 3: Cross multiply
    260,424x = 557,712 × 557,712
  4. Step 4: Simplify right side
    260,424x = 311,042,674,944
  5. Step 5: Solve for x
    x = 311,042,674,944/260,424
  6. Step 6: Final answer
    x = 1,194,370.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.