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Finding the Third Proportional to 134,710 and 209,175

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Solution

The third proportional to 134,710 and 209,175 is: 324,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,710 : 209,175 = 209,175 : x
  2. Step 2: Convert to fraction form
    134,710/209,175 = 209,175/x
  3. Step 3: Cross multiply
    134,710x = 209,175 × 209,175
  4. Step 4: Simplify right side
    134,710x = 43,754,180,625
  5. Step 5: Solve for x
    x = 43,754,180,625/134,710
  6. Step 6: Final answer
    x = 324,802.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.