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Finding the Third Proportional to 138,708 and 209,520

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Solution

The third proportional to 138,708 and 209,520 is: 316,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,708 : 209,520 = 209,520 : x
  2. Step 2: Convert to fraction form
    138,708/209,520 = 209,520/x
  3. Step 3: Cross multiply
    138,708x = 209,520 × 209,520
  4. Step 4: Simplify right side
    138,708x = 43,898,630,400
  5. Step 5: Solve for x
    x = 43,898,630,400/138,708
  6. Step 6: Final answer
    x = 316,482.33

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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.