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Finding the Third Proportional to 138,654 and 298,683

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Solution

The third proportional to 138,654 and 298,683 is: 643,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,654 : 298,683 = 298,683 : x
  2. Step 2: Convert to fraction form
    138,654/298,683 = 298,683/x
  3. Step 3: Cross multiply
    138,654x = 298,683 × 298,683
  4. Step 4: Simplify right side
    138,654x = 89,211,534,489
  5. Step 5: Solve for x
    x = 89,211,534,489/138,654
  6. Step 6: Final answer
    x = 643,411.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.