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Finding the Third Proportional to 153,431 and 328,183

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Solution

The third proportional to 153,431 and 328,183 is: 701,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,431 : 328,183 = 328,183 : x
  2. Step 2: Convert to fraction form
    153,431/328,183 = 328,183/x
  3. Step 3: Cross multiply
    153,431x = 328,183 × 328,183
  4. Step 4: Simplify right side
    153,431x = 107,704,081,489
  5. Step 5: Solve for x
    x = 107,704,081,489/153,431
  6. Step 6: Final answer
    x = 701,970.80

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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.