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Finding the Third Proportional to 153,238 and 324,906

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Solution

The third proportional to 153,238 and 324,906 is: 688,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,238 : 324,906 = 324,906 : x
  2. Step 2: Convert to fraction form
    153,238/324,906 = 324,906/x
  3. Step 3: Cross multiply
    153,238x = 324,906 × 324,906
  4. Step 4: Simplify right side
    153,238x = 105,563,908,836
  5. Step 5: Solve for x
    x = 105,563,908,836/153,238
  6. Step 6: Final answer
    x = 688,888.58

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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.