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Finding the Third Proportional to 300.16 and 646.63

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Solution

The third proportional to 300.16 and 646.63 is: 1,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 646.63 = 646.63 : x
  2. Step 2: Convert to fraction form
    300.16/646.63 = 646.63/x
  3. Step 3: Cross multiply
    300.16x = 646.63 × 646.63
  4. Step 4: Simplify right side
    300.16x = 418,128.94
  5. Step 5: Solve for x
    x = 418,128.94/300.16
  6. Step 6: Final answer
    x = 1,393.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.