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Finding the Third Proportional to 132,775 and 286,678

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Solution

The third proportional to 132,775 and 286,678 is: 618,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,775 : 286,678 = 286,678 : x
  2. Step 2: Convert to fraction form
    132,775/286,678 = 286,678/x
  3. Step 3: Cross multiply
    132,775x = 286,678 × 286,678
  4. Step 4: Simplify right side
    132,775x = 82,184,275,684
  5. Step 5: Solve for x
    x = 82,184,275,684/132,775
  6. Step 6: Final answer
    x = 618,974.02

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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.