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Finding the Third Proportional to 130,129 and 285,165

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Solution

The third proportional to 130,129 and 285,165 is: 624,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,129 : 285,165 = 285,165 : x
  2. Step 2: Convert to fraction form
    130,129/285,165 = 285,165/x
  3. Step 3: Cross multiply
    130,129x = 285,165 × 285,165
  4. Step 4: Simplify right side
    130,129x = 81,319,077,225
  5. Step 5: Solve for x
    x = 81,319,077,225/130,129
  6. Step 6: Final answer
    x = 624,911.26

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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.