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Finding the Third Proportional to 154,446 and 338,417

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Solution

The third proportional to 154,446 and 338,417 is: 741,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,446 : 338,417 = 338,417 : x
  2. Step 2: Convert to fraction form
    154,446/338,417 = 338,417/x
  3. Step 3: Cross multiply
    154,446x = 338,417 × 338,417
  4. Step 4: Simplify right side
    154,446x = 114,526,065,889
  5. Step 5: Solve for x
    x = 114,526,065,889/154,446
  6. Step 6: Final answer
    x = 741,528.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.