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Finding the Third Proportional to 150,717 and 207,620

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Solution

The third proportional to 150,717 and 207,620 is: 286,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,717 : 207,620 = 207,620 : x
  2. Step 2: Convert to fraction form
    150,717/207,620 = 207,620/x
  3. Step 3: Cross multiply
    150,717x = 207,620 × 207,620
  4. Step 4: Simplify right side
    150,717x = 43,106,064,400
  5. Step 5: Solve for x
    x = 43,106,064,400/150,717
  6. Step 6: Final answer
    x = 286,006.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.