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Finding the Third Proportional to 124,802 and 286,661

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Solution

The third proportional to 124,802 and 286,661 is: 658,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,802 : 286,661 = 286,661 : x
  2. Step 2: Convert to fraction form
    124,802/286,661 = 286,661/x
  3. Step 3: Cross multiply
    124,802x = 286,661 × 286,661
  4. Step 4: Simplify right side
    124,802x = 82,174,528,921
  5. Step 5: Solve for x
    x = 82,174,528,921/124,802
  6. Step 6: Final answer
    x = 658,439.20

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.