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Finding the Third Proportional to 63,109 and 134,970

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Solution

The third proportional to 63,109 and 134,970 is: 288,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,109 : 134,970 = 134,970 : x
  2. Step 2: Convert to fraction form
    63,109/134,970 = 134,970/x
  3. Step 3: Cross multiply
    63,109x = 134,970 × 134,970
  4. Step 4: Simplify right side
    63,109x = 18,216,900,900
  5. Step 5: Solve for x
    x = 18,216,900,900/63,109
  6. Step 6: Final answer
    x = 288,657.73

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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.