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Finding the Third Proportional to 207,316 and 427,716

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Solution

The third proportional to 207,316 and 427,716 is: 882,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,316 : 427,716 = 427,716 : x
  2. Step 2: Convert to fraction form
    207,316/427,716 = 427,716/x
  3. Step 3: Cross multiply
    207,316x = 427,716 × 427,716
  4. Step 4: Simplify right side
    207,316x = 182,940,976,656
  5. Step 5: Solve for x
    x = 182,940,976,656/207,316
  6. Step 6: Final answer
    x = 882,425.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.