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Finding the Third Proportional to 305.16 and 631.94

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Solution

The third proportional to 305.16 and 631.94 is: 1,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 631.94 = 631.94 : x
  2. Step 2: Convert to fraction form
    305.16/631.94 = 631.94/x
  3. Step 3: Cross multiply
    305.16x = 631.94 × 631.94
  4. Step 4: Simplify right side
    305.16x = 399,345.00
  5. Step 5: Solve for x
    x = 399,345.00/305.16
  6. Step 6: Final answer
    x = 1,308.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.