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Finding the Third Proportional to 132,796 and 286,328

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Solution

The third proportional to 132,796 and 286,328 is: 617,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,796 : 286,328 = 286,328 : x
  2. Step 2: Convert to fraction form
    132,796/286,328 = 286,328/x
  3. Step 3: Cross multiply
    132,796x = 286,328 × 286,328
  4. Step 4: Simplify right side
    132,796x = 81,983,723,584
  5. Step 5: Solve for x
    x = 81,983,723,584/132,796
  6. Step 6: Final answer
    x = 617,365.91

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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.