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Finding the Third Proportional to 406,008 and 881,172

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Solution

The third proportional to 406,008 and 881,172 is: 1,912,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,008 : 881,172 = 881,172 : x
  2. Step 2: Convert to fraction form
    406,008/881,172 = 881,172/x
  3. Step 3: Cross multiply
    406,008x = 881,172 × 881,172
  4. Step 4: Simplify right side
    406,008x = 776,464,093,584
  5. Step 5: Solve for x
    x = 776,464,093,584/406,008
  6. Step 6: Final answer
    x = 1,912,435.45

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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.