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Finding the Third Proportional to 138,684 and 296,970

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Solution

The third proportional to 138,684 and 296,970 is: 635,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,684 : 296,970 = 296,970 : x
  2. Step 2: Convert to fraction form
    138,684/296,970 = 296,970/x
  3. Step 3: Cross multiply
    138,684x = 296,970 × 296,970
  4. Step 4: Simplify right side
    138,684x = 88,191,180,900
  5. Step 5: Solve for x
    x = 88,191,180,900/138,684
  6. Step 6: Final answer
    x = 635,914.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.