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Finding the Third Proportional to 138,972 and 282,860

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Solution

The third proportional to 138,972 and 282,860 is: 575,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,972 : 282,860 = 282,860 : x
  2. Step 2: Convert to fraction form
    138,972/282,860 = 282,860/x
  3. Step 3: Cross multiply
    138,972x = 282,860 × 282,860
  4. Step 4: Simplify right side
    138,972x = 80,009,779,600
  5. Step 5: Solve for x
    x = 80,009,779,600/138,972
  6. Step 6: Final answer
    x = 575,725.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.