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Finding the Third Proportional to 153,910 and 329,717

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Solution

The third proportional to 153,910 and 329,717 is: 706,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,910 : 329,717 = 329,717 : x
  2. Step 2: Convert to fraction form
    153,910/329,717 = 329,717/x
  3. Step 3: Cross multiply
    153,910x = 329,717 × 329,717
  4. Step 4: Simplify right side
    153,910x = 108,713,300,089
  5. Step 5: Solve for x
    x = 108,713,300,089/153,910
  6. Step 6: Final answer
    x = 706,343.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.