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Finding the Third Proportional to 192,987 and 418,984

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Solution

The third proportional to 192,987 and 418,984 is: 909,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,987 : 418,984 = 418,984 : x
  2. Step 2: Convert to fraction form
    192,987/418,984 = 418,984/x
  3. Step 3: Cross multiply
    192,987x = 418,984 × 418,984
  4. Step 4: Simplify right side
    192,987x = 175,547,592,256
  5. Step 5: Solve for x
    x = 175,547,592,256/192,987
  6. Step 6: Final answer
    x = 909,634.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.