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Finding the Third Proportional to 406,380 and 632,838

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Solution

The third proportional to 406,380 and 632,838 is: 985,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,380 : 632,838 = 632,838 : x
  2. Step 2: Convert to fraction form
    406,380/632,838 = 632,838/x
  3. Step 3: Cross multiply
    406,380x = 632,838 × 632,838
  4. Step 4: Simplify right side
    406,380x = 400,483,934,244
  5. Step 5: Solve for x
    x = 400,483,934,244/406,380
  6. Step 6: Final answer
    x = 985,491.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.