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Finding the Third Proportional to 130,915 and 285,158

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Solution

The third proportional to 130,915 and 285,158 is: 621,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,915 : 285,158 = 285,158 : x
  2. Step 2: Convert to fraction form
    130,915/285,158 = 285,158/x
  3. Step 3: Cross multiply
    130,915x = 285,158 × 285,158
  4. Step 4: Simplify right side
    130,915x = 81,315,084,964
  5. Step 5: Solve for x
    x = 81,315,084,964/130,915
  6. Step 6: Final answer
    x = 621,128.86

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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.