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Finding the Third Proportional to 147,931 and 324,019

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Solution

The third proportional to 147,931 and 324,019 is: 709,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,931 : 324,019 = 324,019 : x
  2. Step 2: Convert to fraction form
    147,931/324,019 = 324,019/x
  3. Step 3: Cross multiply
    147,931x = 324,019 × 324,019
  4. Step 4: Simplify right side
    147,931x = 104,988,312,361
  5. Step 5: Solve for x
    x = 104,988,312,361/147,931
  6. Step 6: Final answer
    x = 709,711.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.