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Finding the Third Proportional to 406,872 and 886,072

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Solution

The third proportional to 406,872 and 886,072 is: 1,929,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,872 : 886,072 = 886,072 : x
  2. Step 2: Convert to fraction form
    406,872/886,072 = 886,072/x
  3. Step 3: Cross multiply
    406,872x = 886,072 × 886,072
  4. Step 4: Simplify right side
    406,872x = 785,123,589,184
  5. Step 5: Solve for x
    x = 785,123,589,184/406,872
  6. Step 6: Final answer
    x = 1,929,657.46

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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.