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Finding the Third Proportional to 130,922 and 285,172

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Solution

The third proportional to 130,922 and 285,172 is: 621,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,922 : 285,172 = 285,172 : x
  2. Step 2: Convert to fraction form
    130,922/285,172 = 285,172/x
  3. Step 3: Cross multiply
    130,922x = 285,172 × 285,172
  4. Step 4: Simplify right side
    130,922x = 81,323,069,584
  5. Step 5: Solve for x
    x = 81,323,069,584/130,922
  6. Step 6: Final answer
    x = 621,156.64

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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.