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Finding the Third Proportional to 153,810 and 323,172

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Solution

The third proportional to 153,810 and 323,172 is: 679,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,810 : 323,172 = 323,172 : x
  2. Step 2: Convert to fraction form
    153,810/323,172 = 323,172/x
  3. Step 3: Cross multiply
    153,810x = 323,172 × 323,172
  4. Step 4: Simplify right side
    153,810x = 104,440,141,584
  5. Step 5: Solve for x
    x = 104,440,141,584/153,810
  6. Step 6: Final answer
    x = 679,020.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.