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Finding the Third Proportional to 130,907 and 285,142

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Solution

The third proportional to 130,907 and 285,142 is: 621,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,907 : 285,142 = 285,142 : x
  2. Step 2: Convert to fraction form
    130,907/285,142 = 285,142/x
  3. Step 3: Cross multiply
    130,907x = 285,142 × 285,142
  4. Step 4: Simplify right side
    130,907x = 81,305,960,164
  5. Step 5: Solve for x
    x = 81,305,960,164/130,907
  6. Step 6: Final answer
    x = 621,097.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.