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Finding the Third Proportional to 406.63 and 646.94

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Solution

The third proportional to 406.63 and 646.94 is: 1,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.63 : 646.94 = 646.94 : x
  2. Step 2: Convert to fraction form
    406.63/646.94 = 646.94/x
  3. Step 3: Cross multiply
    406.63x = 646.94 × 646.94
  4. Step 4: Simplify right side
    406.63x = 418,528.13
  5. Step 5: Solve for x
    x = 418,528.13/406.63
  6. Step 6: Final answer
    x = 1,029.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.