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Finding the Third Proportional to 302.81 and 656.06

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Solution

The third proportional to 302.81 and 656.06 is: 1,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.81 : 656.06 = 656.06 : x
  2. Step 2: Convert to fraction form
    302.81/656.06 = 656.06/x
  3. Step 3: Cross multiply
    302.81x = 656.06 × 656.06
  4. Step 4: Simplify right side
    302.81x = 430,418.00
  5. Step 5: Solve for x
    x = 430,418.00/302.81
  6. Step 6: Final answer
    x = 1,421.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.