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Finding the Third Proportional to 207,780 and 325,467

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Solution

The third proportional to 207,780 and 325,467 is: 509,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,780 : 325,467 = 325,467 : x
  2. Step 2: Convert to fraction form
    207,780/325,467 = 325,467/x
  3. Step 3: Cross multiply
    207,780x = 325,467 × 325,467
  4. Step 4: Simplify right side
    207,780x = 105,928,768,089
  5. Step 5: Solve for x
    x = 105,928,768,089/207,780
  6. Step 6: Final answer
    x = 509,812.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.