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Finding the Third Proportional to 242,821 and 367,617

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Solution

The third proportional to 242,821 and 367,617 is: 556,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,821 : 367,617 = 367,617 : x
  2. Step 2: Convert to fraction form
    242,821/367,617 = 367,617/x
  3. Step 3: Cross multiply
    242,821x = 367,617 × 367,617
  4. Step 4: Simplify right side
    242,821x = 135,142,258,689
  5. Step 5: Solve for x
    x = 135,142,258,689/242,821
  6. Step 6: Final answer
    x = 556,550.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.