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Finding the Third Proportional to 406,418.77 and 632,889.70

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Solution

The third proportional to 406,418.77 and 632,889.70 is: 985,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,418.77 : 632,889.70 = 632,889.70 : x
  2. Step 2: Convert to fraction form
    406,418.77/632,889.70 = 632,889.70/x
  3. Step 3: Cross multiply
    406,418.77x = 632,889.70 × 632,889.70
  4. Step 4: Simplify right side
    406,418.77x = 400,549,376,321.65
  5. Step 5: Solve for x
    x = 400,549,376,321.65/406,418.77
  6. Step 6: Final answer
    x = 985,558.27

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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.