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Finding the Third Proportional to 420,592 and 912,171

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Solution

The third proportional to 420,592 and 912,171 is: 1,978,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,592 : 912,171 = 912,171 : x
  2. Step 2: Convert to fraction form
    420,592/912,171 = 912,171/x
  3. Step 3: Cross multiply
    420,592x = 912,171 × 912,171
  4. Step 4: Simplify right side
    420,592x = 832,055,933,241
  5. Step 5: Solve for x
    x = 832,055,933,241/420,592
  6. Step 6: Final answer
    x = 1,978,297.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.