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Finding the Third Proportional to 310.08 and 477.14

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Solution

The third proportional to 310.08 and 477.14 is: 734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.08 : 477.14 = 477.14 : x
  2. Step 2: Convert to fraction form
    310.08/477.14 = 477.14/x
  3. Step 3: Cross multiply
    310.08x = 477.14 × 477.14
  4. Step 4: Simplify right side
    310.08x = 227,663.18
  5. Step 5: Solve for x
    x = 227,663.18/310.08
  6. Step 6: Final answer
    x = 734.21

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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.