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Finding the Third Proportional to 132,790 and 286,708

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Solution

The third proportional to 132,790 and 286,708 is: 619,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,790 : 286,708 = 286,708 : x
  2. Step 2: Convert to fraction form
    132,790/286,708 = 286,708/x
  3. Step 3: Cross multiply
    132,790x = 286,708 × 286,708
  4. Step 4: Simplify right side
    132,790x = 82,201,477,264
  5. Step 5: Solve for x
    x = 82,201,477,264/132,790
  6. Step 6: Final answer
    x = 619,033.64

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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.