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Finding the Third Proportional to 420.19 and 646.69

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Solution

The third proportional to 420.19 and 646.69 is: 995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.19 : 646.69 = 646.69 : x
  2. Step 2: Convert to fraction form
    420.19/646.69 = 646.69/x
  3. Step 3: Cross multiply
    420.19x = 646.69 × 646.69
  4. Step 4: Simplify right side
    420.19x = 418,204.72
  5. Step 5: Solve for x
    x = 418,204.72/420.19
  6. Step 6: Final answer
    x = 995.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.