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Finding the Third Proportional to 646.13 and 1,406.63

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Solution

The third proportional to 646.13 and 1,406.63 is: 3,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.13 : 1,406.63 = 1,406.63 : x
  2. Step 2: Convert to fraction form
    646.13/1,406.63 = 1,406.63/x
  3. Step 3: Cross multiply
    646.13x = 1,406.63 × 1,406.63
  4. Step 4: Simplify right side
    646.13x = 1,978,593.89
  5. Step 5: Solve for x
    x = 1,978,593.89/646.13
  6. Step 6: Final answer
    x = 3,062.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.