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Finding the Third Proportional to 132,928 and 286,726

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Solution

The third proportional to 132,928 and 286,726 is: 618,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,928 : 286,726 = 286,726 : x
  2. Step 2: Convert to fraction form
    132,928/286,726 = 286,726/x
  3. Step 3: Cross multiply
    132,928x = 286,726 × 286,726
  4. Step 4: Simplify right side
    132,928x = 82,211,799,076
  5. Step 5: Solve for x
    x = 82,211,799,076/132,928
  6. Step 6: Final answer
    x = 618,468.64

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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.