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Finding the Third Proportional to 406,431 and 890,352

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Solution

The third proportional to 406,431 and 890,352 is: 1,950,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,431 : 890,352 = 890,352 : x
  2. Step 2: Convert to fraction form
    406,431/890,352 = 890,352/x
  3. Step 3: Cross multiply
    406,431x = 890,352 × 890,352
  4. Step 4: Simplify right side
    406,431x = 792,726,683,904
  5. Step 5: Solve for x
    x = 792,726,683,904/406,431
  6. Step 6: Final answer
    x = 1,950,458.22

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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.