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Finding the Third Proportional to 145.97 and 337.08

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Solution

The third proportional to 145.97 and 337.08 is: 778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 337.08 = 337.08 : x
  2. Step 2: Convert to fraction form
    145.97/337.08 = 337.08/x
  3. Step 3: Cross multiply
    145.97x = 337.08 × 337.08
  4. Step 4: Simplify right side
    145.97x = 113,621.66
  5. Step 5: Solve for x
    x = 113,621.66/145.97
  6. Step 6: Final answer
    x = 778.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.