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Finding the Third Proportional to 132,512 and 286,148

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Solution

The third proportional to 132,512 and 286,148 is: 617,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,512 : 286,148 = 286,148 : x
  2. Step 2: Convert to fraction form
    132,512/286,148 = 286,148/x
  3. Step 3: Cross multiply
    132,512x = 286,148 × 286,148
  4. Step 4: Simplify right side
    132,512x = 81,880,677,904
  5. Step 5: Solve for x
    x = 81,880,677,904/132,512
  6. Step 6: Final answer
    x = 617,911.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.