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Finding the Third Proportional to 71,768 and 157,216

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Solution

The third proportional to 71,768 and 157,216 is: 344,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,768 : 157,216 = 157,216 : x
  2. Step 2: Convert to fraction form
    71,768/157,216 = 157,216/x
  3. Step 3: Cross multiply
    71,768x = 157,216 × 157,216
  4. Step 4: Simplify right side
    71,768x = 24,716,870,656
  5. Step 5: Solve for x
    x = 24,716,870,656/71,768
  6. Step 6: Final answer
    x = 344,399.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.