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Finding the Third Proportional to 138,604 and 210,822

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Solution

The third proportional to 138,604 and 210,822 is: 320,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,604 : 210,822 = 210,822 : x
  2. Step 2: Convert to fraction form
    138,604/210,822 = 210,822/x
  3. Step 3: Cross multiply
    138,604x = 210,822 × 210,822
  4. Step 4: Simplify right side
    138,604x = 44,445,915,684
  5. Step 5: Solve for x
    x = 44,445,915,684/138,604
  6. Step 6: Final answer
    x = 320,668.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.