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Finding the Third Proportional to 153,069 and 324,669

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Solution

The third proportional to 153,069 and 324,669 is: 688,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,069 : 324,669 = 324,669 : x
  2. Step 2: Convert to fraction form
    153,069/324,669 = 324,669/x
  3. Step 3: Cross multiply
    153,069x = 324,669 × 324,669
  4. Step 4: Simplify right side
    153,069x = 105,409,959,561
  5. Step 5: Solve for x
    x = 105,409,959,561/153,069
  6. Step 6: Final answer
    x = 688,643.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.