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Finding the Third Proportional to 157,784 and 343,216

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Solution

The third proportional to 157,784 and 343,216 is: 746,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,784 : 343,216 = 343,216 : x
  2. Step 2: Convert to fraction form
    157,784/343,216 = 343,216/x
  3. Step 3: Cross multiply
    157,784x = 343,216 × 343,216
  4. Step 4: Simplify right side
    157,784x = 117,797,222,656
  5. Step 5: Solve for x
    x = 117,797,222,656/157,784
  6. Step 6: Final answer
    x = 746,572.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.