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Finding the Third Proportional to 132,835 and 286,660

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Solution

The third proportional to 132,835 and 286,660 is: 618,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,835 : 286,660 = 286,660 : x
  2. Step 2: Convert to fraction form
    132,835/286,660 = 286,660/x
  3. Step 3: Cross multiply
    132,835x = 286,660 × 286,660
  4. Step 4: Simplify right side
    132,835x = 82,173,955,600
  5. Step 5: Solve for x
    x = 82,173,955,600/132,835
  6. Step 6: Final answer
    x = 618,616.75

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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.