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Finding the Third Proportional to 152,967 and 332,202

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Solution

The third proportional to 152,967 and 332,202 is: 721,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,967 : 332,202 = 332,202 : x
  2. Step 2: Convert to fraction form
    152,967/332,202 = 332,202/x
  3. Step 3: Cross multiply
    152,967x = 332,202 × 332,202
  4. Step 4: Simplify right side
    152,967x = 110,358,168,804
  5. Step 5: Solve for x
    x = 110,358,168,804/152,967
  6. Step 6: Final answer
    x = 721,450.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.