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Finding the Third Proportional to 137,066 and 218,719

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Solution

The third proportional to 137,066 and 218,719 is: 349,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,066 : 218,719 = 218,719 : x
  2. Step 2: Convert to fraction form
    137,066/218,719 = 218,719/x
  3. Step 3: Cross multiply
    137,066x = 218,719 × 218,719
  4. Step 4: Simplify right side
    137,066x = 47,838,000,961
  5. Step 5: Solve for x
    x = 47,838,000,961/137,066
  6. Step 6: Final answer
    x = 349,014.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.