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Finding the Third Proportional to 138,588 and 209,130

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Solution

The third proportional to 138,588 and 209,130 is: 315,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,588 : 209,130 = 209,130 : x
  2. Step 2: Convert to fraction form
    138,588/209,130 = 209,130/x
  3. Step 3: Cross multiply
    138,588x = 209,130 × 209,130
  4. Step 4: Simplify right side
    138,588x = 43,735,356,900
  5. Step 5: Solve for x
    x = 43,735,356,900/138,588
  6. Step 6: Final answer
    x = 315,578.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.