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Finding the Third Proportional to 153,786 and 206,928

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Solution

The third proportional to 153,786 and 206,928 is: 278,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,786 : 206,928 = 206,928 : x
  2. Step 2: Convert to fraction form
    153,786/206,928 = 206,928/x
  3. Step 3: Cross multiply
    153,786x = 206,928 × 206,928
  4. Step 4: Simplify right side
    153,786x = 42,819,197,184
  5. Step 5: Solve for x
    x = 42,819,197,184/153,786
  6. Step 6: Final answer
    x = 278,433.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.